Taxonomy for Mathematics OLD Articles-10th Class: Difference between revisions
(Created page with "{| class="wikitable" !S.No !Topic !Chapters !'''अध्याय''' !विषय !Article Creator Name !'''[https://docs.google.com/spreadsheets/d/1vnjAeeym3GygGzgJE1sZPvexXXz8sCS4OyiBPFK_S7o/edit?usp=sharing Review by IIT Kanpur]''' |- |1 |Real Numbers |Euclid's Division Lemma |वास्तविक संख्याएँ |यूक्लिड विभाजन प्रमेयिका |jaya agarwal | |- | | |The Fundamental Theorem of Arithmetic | |...") |
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{| class="wikitable" | {| class="wikitable" | ||
!S.No | |||
!Topic | |||
!Chapters | |||
!'''अध्याय'''{| class="wikitable" | |||
!S.No | !S.No | ||
!Topic | !Topic | ||
!Chapters | !Chapters | ||
!'''अध्याय''' | !'''अध्याय''' | ||
!विषय | |||
!Article Creator Name | |||
!'''[https://docs.google.com/spreadsheets/d/1vnjAeeym3GygGzgJE1sZPvexXXz8sCS4OyiBPFK_S7o/edit?usp=sharing Review by IIT Kanpur]''' | |||
|- | |||
|1 | |||
|Real Numbers | |||
|Euclid's Division Lemma | |||
|वास्तविक संख्याएँ | |||
|[[यूक्लिड विभाजन प्रमेयिका]] | |||
|jaya agarwal | |||
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|- | |||
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|The Fundamental Theorem of Arithmetic | |||
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|[[अंकगणित की आधारभूत प्रमेय]] | |||
|snehlata sharma | |||
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|- | |||
| | |||
| | |||
|Revisiting Irrational Numbers | |||
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|[[अपरिमेय संख्याओं का पुनर्भ्रमण]] | |||
|jaya agarwal | |||
| | |||
|- | |||
| | |||
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|Revisiting Rational Numbers and their Decimal Expansions | |||
| | |||
|[[परिमेय संख्याओं और उनके दशमलव प्रसारों का पुनर्भ्रमण]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Real Numbers | |||
| | |||
|[[वास्तविक संख्याएँ]] | |||
|Snehlata sharma | |||
| | |||
|- | |||
| | |||
| | |||
|Irrational Numbers | |||
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|[[अपरिमेय संख्याएँ]] | |||
|jaya agarwal (R) | |||
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|- | |||
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|Integers | |||
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|[[पूर्णांक]] | |||
|jaya agarwal | |||
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|- | |||
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|Euclid division algorithm | |||
| | |||
|[[यूक्लिड विभाजन एल्गोरिथ्म]] | |||
|jaya agarwal | |||
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|- | |||
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|Highest Common Factor (HCF) | |||
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|[[महत्तम समापवर्तक(HCF)]] | |||
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|- | |||
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|Factorisation | |||
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|[[गुणनखण्डन]] | |||
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|- | |||
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|LCM | |||
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|[[लघुत्तम समापवर्त्य ( LCM)]] | |||
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|- | |||
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|Division | |||
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|[[विभाजन]] | |||
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|- | |||
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|Multiplicaton | |||
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|[[गुणन]] | |||
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|- | |||
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|Algorithm | |||
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|[[कलनविधि(एल्गोरिथ्म)]] | |||
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|- | |||
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|Lemma | |||
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|[[प्रमेयिका]] | |||
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|- | |||
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|Natural Numbers | |||
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|[[प्राकृत संख्याएँ]] | |||
|Jaya agarwal | |||
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|- | |||
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|Prime Numbers | |||
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|[[अभाज्य संख्याएँ]] | |||
|Jaya agarwal | |||
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|- | |||
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|Composite Numbers | |||
| | |||
|[[भाज्य संख्याएँ]] | |||
|Jaya agarwal | |||
| | |||
|- | |||
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| | |||
|Prime Factorisation Method | |||
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|[[अभाज्य गुणनखण्डन विधि]] | |||
|Snehlata sharma | |||
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|- | |||
|2 | |||
|Polynomials | |||
|Geometrical meaning of the zeroes of a polynomial | |||
|बहुपद | |||
|[[बहुपद के शून्यकों का ज्यामितीय अर्थ]] | |||
| | |||
| | |||
|- | |||
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|Relationship between zeroes and coefficients of a polynomial | |||
| | |||
|[[किसी बहुपद के शून्यकों और गुणांकों में सम्बंध]] | |||
|jaya agarwal | |||
| | |||
|- | |||
| | |||
| | |||
|Division Algorithm for Polynomials | |||
| | |||
|[[बहुपदों के लिए विभाजन एल्गोरिथ्म]] | |||
| | |||
| | |||
|- | |||
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| | |||
|Polynomials | |||
| | |||
|[[बहुपद]] | |||
|jaya agarwal | |||
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|- | |||
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| | |||
|Linear Polynomial | |||
| | |||
|[[रैखिक बहुपद]] | |||
|jaya agarwal | |||
| | |||
|- | |||
| | |||
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|Quadratic Polynomial | |||
| | |||
|[[द्विघात बहुपद]] | |||
|jaya agarwal | |||
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|- | |||
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| | |||
|Cubic Polynomial | |||
| | |||
|[[त्रिघात बहुपद]] | |||
|jaya agarwal | |||
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|- | |||
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|Parabolas | |||
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|[[परवलय]] | |||
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|Identity | |||
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|[[सर्वसमिका]] | |||
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|Duplicate | |||
|Division algorithm for polynomials | |||
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|[[बहुपदों के लिए विभाजन कलनविधि(एल्गोरिथ्म)]] | |||
| | |||
| | |||
|- | |||
|3 | |||
|Pair of Linear Equations in Two variables | |||
|Pair of linear equations in two variables | |||
|दो चर वाले रैखिक समीकरण युग्म | |||
|[[दो चरों में रैखिक समीकरण युग्म]] | |||
| | |||
| | |||
|- | |||
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|Graphical solution of a pair of linear equations | |||
| | |||
|[[रैखिक समीकरण युग्म का ग्राफीय विधि से हल]] | |||
| | |||
| | |||
|- | |||
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| | |||
|Algebraic method of solving a pair of linear equations | |||
| | |||
|[[एक रैखिक समीकरण युग्म को हल करने की बीजगणितीय विधि]] | |||
| | |||
| | |||
|- | |||
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|Equations reducible to a pair of linear equations in two variables | |||
| | |||
|[[दो चरों के रैखिक समीकरणों के युग्म में बदले जा सकने वाले समीकरण]] | |||
| | |||
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|- | |||
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|Equation | |||
| | |||
|[[समीकरण]] | |||
| | |||
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|- | |||
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| | |||
|Linear Equations in two variables | |||
| | |||
|[[दो चरों में रैखिक समीकरण]] | |||
|jaya agarwal | |||
| | |||
|- | |||
| | |||
| | |||
|Substitution Method | |||
| | |||
|[[प्रतिस्थापन विधि]] | |||
|jaya agarwal | |||
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|- | |||
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|Elimination Method | |||
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|[[विलोपन विधि]] | |||
|jaya agarwal | |||
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|- | |||
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|Cross Multiplication Method | |||
| | |||
|[[वज्र-गुणनखंड विधि]] | |||
|jaya agarwal | |||
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|- | |||
|4 | |||
|Quadratic Equations | |||
|Euclid | |||
|द्विघात समीकरण | |||
|[[यूक्लिड]] | |||
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|- | |||
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|Brahmagupta | |||
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|[[ब्रह्मगुप्त]] | |||
|Jaya agarwal | |||
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|- | |||
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|Sridharacharya | |||
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|[[श्रीधराचार्य]] | |||
|snehlata sharma | |||
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|- | |||
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|Bhaskara II | |||
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|[[भास्कर द्वितीय]] | |||
|Jaya agarwal | |||
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|- | |||
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| | |||
|Quadratic Equations | |||
| | |||
|[[द्विघात समीकरण]] | |||
|jaya agarwal | |||
| | |||
|- | |||
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|Solution of a Quadratic Equation by Factorisation | |||
| | |||
|[[गुणनखण्डों द्वारा द्विघात समीकरण का हल]] | |||
|jaya agarwal | |||
| | |||
|- | |||
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|Solution of a Quadratic Equation by Completing the square | |||
| | |||
|[[द्विघात समीकरण का पूर्ण वर्ग बनाकर हल]] | |||
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|- | |||
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|Nature of Roots | |||
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|[[मूलों की प्रकृति]] | |||
|jaya agarwal | |||
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|- | |||
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|Discriminant | |||
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|[[विविक्तकर]] | |||
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|- | |||
|5 | |||
|Arithmetic Progressions | |||
|''n''th term of an AP | |||
|समांतर श्रेढ़ीयाँ | |||
|[[AP का nवाँ पद|AP का ''n''वाँ पद]] | |||
|Jaya agarwal | |||
| | |||
|- | |||
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|Sum of first ''n'' terms of an AP | |||
| | |||
|[[AP के प्रथम n पदों का योग|AP के प्रथम ''n'' पदों का योग]] | |||
|Jaya agarwal | |||
| | |||
|- | |||
| | |||
| | |||
|Arithmetic Progressions | |||
| | |||
|[[समांतर श्रेढ़ीयाँ]] | |||
| | |||
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|- | |||
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|Common Difference | |||
| | |||
|[[सार्व अंतर]] | |||
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|- | |||
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|Finite Arithmetic Progressions | |||
| | |||
|[[परिमित समांतर श्रेढ़ीयाँ]] | |||
|Jaya agarwal | |||
| | |||
|- | |||
| | |||
| | |||
|Infinite Arithmetic Progressions | |||
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|[[अपरिमित समांतर श्रेढ़ीयाँ]] | |||
|jaya agarwal | |||
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|- | |||
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|Arithmetic Mean | |||
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|[[समांतर माध्य]] | |||
|Jaya agarwal | |||
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|- | |||
|6 | |||
|Triangles | |||
|Criteria for Similarity of Triangles | |||
|त्रिभुज | |||
|[[त्रिभुजों की समरूपता के लिए कसौटियाँ]] | |||
| | |||
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|- | |||
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|Congruence | |||
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|[[सर्वांगसमता]] | |||
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|- | |||
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|Similar Figures | |||
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|[[समरूप आकृतियाँ]] | |||
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|- | |||
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|Pythogoras Theorem | |||
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|[[पाइथागोरस प्रमेय]] | |||
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|- | |||
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|Quadrilaterals | |||
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|[[चतुर्भुज]] | |||
|Snehlata Sharma | |||
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|- | |||
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|Polygon | |||
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|[[बहुभुज]] | |||
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|- | |||
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|Scale Factor | |||
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|[[स्केल गुणक]] | |||
|Snehlata sharma | |||
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|- | |||
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|Representative Fraction | |||
| | |||
|[[प्रतिनिधित्व भिन्न]] | |||
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|- | |||
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|Vertex | |||
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|[[शीर्ष]] | |||
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|- | |||
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|Similarity of Triangles | |||
| | |||
|[[त्रिभुजों की समरूपता]] | |||
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|- | |||
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|Equiangular Triangles | |||
| | |||
|[[समानकोणिक त्रिभुज]] | |||
| | |||
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|- | |||
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| | |||
|Basic Proportionality Theorem | |||
| | |||
|[[आधारभूत समानुपातिकता प्रमेय]] | |||
| | |||
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|- | |||
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|Thales Theorem | |||
| | |||
|[[थेल्स प्रमेय]] | |||
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|- | |||
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|Ray | |||
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|[[किरण]] | |||
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|- | |||
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|Line | |||
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|[[रेखा]] | |||
|Snehlata Sharma | |||
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|- | |||
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|Trapezium | |||
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|[[समलंब]] | |||
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|- | |||
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|Isosceles Triangle | |||
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|[[समद्विबाहु त्रिभुज]] | |||
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|- | |||
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|Corresponding Angles | |||
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|[[संगत कोण]] | |||
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|- | |||
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|Line Segment | |||
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|[[रेखाखंड]] | |||
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|- | |||
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|Side-Side-Side similarity Criterion | |||
| | |||
|[[भुजा- भुजा- भुजा समरूपता कसौटी]] | |||
| | |||
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|- | |||
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|Side-Angle-Side similarity Criterion | |||
| | |||
|[[भुजा-कोण- भुजा समरूपता कसौटी]] | |||
| | |||
| | |||
|- | |||
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|Areas of similar triangles | |||
| | |||
|[[समरूप त्रिभुजों के क्षेत्रफल]] | |||
| | |||
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|- | |||
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|Ange-Angle-Angle similarity Criterion | |||
| | |||
|[[कोण-कोण-कोण समरूपता कसौटी]] | |||
| | |||
| | |||
|- | |||
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| | |||
|Angle-Angle similarity Criterion | |||
| | |||
|[[कोण-कोण समरूपता कसौटी]] | |||
| | |||
| | |||
|- | |||
|7 | |||
|Co-ordinate Geometry | |||
|Abscissa | |||
|निर्देशांक ज्यामिति | |||
|[[भुज]] | |||
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|- | |||
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|Ordinate | |||
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|[[कोटि]] | |||
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|- | |||
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|Co-ordinates | |||
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|[[निर्देशांक]] | |||
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|- | |||
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|Quadrants | |||
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|[[चतुर्थाँश]] | |||
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|- | |||
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|Distance Formula | |||
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|[[दूरी-सूत्र]] | |||
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|- | |||
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|Section Formula | |||
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|[[विभाजन-सूत्र]] | |||
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|- | |||
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|Ratio | |||
| | |||
|[[अनुपात]] | |||
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|- | |||
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|Axis | |||
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|[[अक्ष]] | |||
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|- | |||
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|Parallelogram | |||
| | |||
|[[समानांतर चतुर्भुज]] | |||
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|- | |||
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|Bisection | |||
| | |||
|[[द्विविभाजन]] | |||
| | |||
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|- | |||
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|Area of a triangle | |||
| | |||
|[[त्रिभुज का क्षेत्रफल]] | |||
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|- | |||
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|Vertices | |||
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|[[शीर्ष]] | |||
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|- | |||
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|mid-point | |||
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|[[मध्य-बिंदु]] | |||
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|- | |||
|8 | |||
|Trigonometry + applications | |||
|Trigonometric ratios of some specific Angles | |||
|त्रिकोणमिति के कुछ अनुप्रयोग | |||
|[[कुछ विशिष्ट कोणों के त्रिकोणमितीय अनुपात]] | |||
| | |||
| | |||
|- | |||
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| | |||
|Trigonometric Ratios of Complementary Angles | |||
| | |||
|[[पूरक कोणों के त्रिकोणमितीय अनुपात]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Trigonometry | |||
| | |||
|[[त्रिकोणमिति]] | |||
|Snehlata Sharma | |||
| | |||
|- | |||
| | |||
| | |||
|Trigonometric ratios | |||
| | |||
|[[त्रिकोणमितीय अनुपात]] | |||
|Snehlata sharma | |||
| | |||
|- | |||
| | |||
| | |||
|Angle | |||
| | |||
|[[कोण]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Trigonometric Identities | |||
| | |||
|[[त्रिकोणमितीय सर्वसमिकाएँ]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Hypotenuse | |||
| | |||
|[[कर्ण]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Line of sight | |||
| | |||
|[[दृष्टि-रेखा]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Angle of elevation | |||
| | |||
|[[उन्नयन कोण]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Angle of depression | |||
| | |||
|[[अवनमन कोण]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Heights and Distances | |||
| | |||
|[[ऊँचाइयाँ और दूरियाँ]] | |||
| | |||
| | |||
|- | |||
|9 | |||
|Circles | |||
|Number of Tangents from a point on a circle | |||
|वृत्त | |||
|[[एक बिंदु से एक वृत्त पर स्पर्श रेखाओं की संख्या]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Plane | |||
| | |||
|[[समतल]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Radius | |||
| | |||
|[[त्रिज्या]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Chord | |||
| | |||
|[[जीवा]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Segment | |||
| | |||
|[[वृत्तखंड]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Sector | |||
| | |||
|[[त्रिज्यखंड]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Non-intersecting Line | |||
| | |||
|[[अप्रतिच्छेदी रेखा]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Secant of a circle | |||
| | |||
|[[वृत्त की छेदक रेखा]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Tangent of a circle | |||
| | |||
|[[वृत्त की स्पर्श रेखा]] | |||
| | |||
| | |||
|- | |||
|10 | |||
|Constructions | |||
|Division of Line Segment | |||
|रचनाएँ | |||
|[[रेखाखंड का विभजन]] | |||
|'''REMOVE''' | |||
| | |||
|- | |||
| | |||
| | |||
|Construction of Tangents to a Circle | |||
| | |||
|[[किसी वृत्त पर स्पर्श रेखाओं की रचना]] | |||
|'''REMOVE''' | |||
| | |||
|- | |||
| | |||
| | |||
|Proportionality Theorem | |||
| | |||
|[[आनुपातिकता प्रमेय]] | |||
|'''REMOVE''' | |||
| | |||
|- | |||
| | |||
| | |||
|Scale Factor | |||
| | |||
|[[स्केल गुणक]] | |||
|'''REMOVE''' | |||
| | |||
|- | |||
|11 | |||
|Areas related to circles | |||
|Perimeter and Area of a Circle - A Review | |||
|वृत्तों से संबंधित क्षेत्रफल | |||
|[[वृत्त का परिमाप और क्षेत्रफल - एक समीक्षा]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Area of Sector and Segment of a circle | |||
| | |||
|[[त्रिज्यखंड और वृत्तखंड के क्षेत्रेफल]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Perimeter | |||
| | |||
|[[परिमाप]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Area of a circle | |||
| | |||
|[[वृत्त का क्षेत्रफल]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Area of a sector | |||
| | |||
|[[त्रिज्यखंड का क्षेत्रफल]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Area of a segment | |||
| | |||
|[[वृत्तखंड का क्षेत्रफल]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Areas of combinations of plane figures | |||
| | |||
|[[समतल आकृतियों के संयोजनों का क्षेत्रफल]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Circumference of a circle | |||
| | |||
|[[वृत्त का परिकेन्द्र]] | |||
| | |||
| | |||
|- | |||
|12 | |||
|Surface Areas and Volumes | |||
|Surface area of a combination of solids | |||
|पृष्ठीय क्षेत्रफल और आयतन | |||
|[[ठोसों के संयोजन का पृष्ठीय क्षेत्रफल]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Volume of a combination of solids | |||
| | |||
|[[ठोसों के संयोजन का आयतन]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Conversion of solid from one shape to another | |||
| | |||
|[[ठोस का एक आकार से दूसरे आकार में रूपांतरण]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Frustum of a cone | |||
| | |||
|[[शंकु का छिन्नक]] | |||
| | |||
| | |||
|- | |||
|13 | |||
|Statistics | |||
|Mean | |||
|[[सांख्यिकी]] | |||
|[[माध्य]] | |||
|Ramamurthy | |||
Mani | |||
| | |||
|- | |||
| | |||
| | |||
|Mode | |||
| | |||
|[[बहुलक]] | |||
|Ramamurthy | |||
Mani | |||
| | |||
|- | |||
| | |||
| | |||
|Median | |||
| | |||
|[[माध्यिका]] | |||
|Ramamurthy | |||
Mani | |||
| | |||
|- | |||
| | |||
| | |||
|Class-Interval | |||
| | |||
|[[वर्ग अंतराल]] | |||
|Ramamurthy | |||
Mani | |||
| | |||
|- | |||
| | |||
| | |||
|Frequency | |||
| | |||
|[[बारंबारता]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Class-mark | |||
| | |||
|[[वर्ग चिह्न]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Deviation | |||
| | |||
|[[विचलन]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Mean - Assumed Mean Method | |||
| | |||
|[[माध्य - कल्पित माध्य विधि]] | |||
|Ramamurthy | |||
Mani | |||
| | |||
|- | |||
| | |||
| | |||
|Mean - Direct Method | |||
| | |||
|[[माध्य - प्रत्यक्ष विधि]] | |||
|Ramamurthy | |||
Mani | |||
| | |||
|- | |||
| | |||
| | |||
|Mean - Step - Deviation Method | |||
| | |||
|[[माध्य - पग-विचलन विधि]] | |||
|Ramamurthy | |||
Mani | |||
| | |||
|- | |||
| | |||
| | |||
|Mode of Grouped Data | |||
| | |||
|[[वर्गीकृत आँकड़ों का बहुलक|वर्गीकृत आँकड़ों का बहुलक]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Modal Class | |||
| | |||
|[[बहुलक वर्ग]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Median of Grouped Data | |||
| | |||
|[[वर्गीकृत आँकड़ों का माध्यक|वर्गीकृत आँकड़ों का माध्यक]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Cumulative Frequency Table | |||
| | |||
|[[संचयी बारंबारता सारणी]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Statistics | |||
| | |||
|[[सांख्यिकी]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Median Class | |||
| | |||
|[[माध्यिका वर्ग]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Graphical representation of Cumulative Frequency Distribution | |||
| | |||
|[[संचयी बारंबारता बंटन का आलेखीय निरूपण]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Cumulative Frequency Curve | |||
| | |||
|[[संचयी बारंबारता वक्र]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Ogive | |||
| | |||
|[[तोरण (Ogives)]] | |||
| | |||
| | |||
|- | |||
|14 | |||
|Probability | |||
|Probability - A Theoretical Approach | |||
|प्रायिकता | |||
|[[प्रायिकता - एक सैद्धांन्तिक दृष्टिकोण]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Probability | |||
| | |||
|[[प्रायिकता]] | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|Theoretical Probability | |||
| | |||
|[[सैद्धांतिक प्रायिकता]] | |||
|jaya agarwal | |||
| | |||
|- | |||
| | |||
| | |||
|Classical Probability | |||
| | |||
|[[परंपरागत प्रायिकता]] | |||
|jaya agarwal (R) | |||
| | |||
|- | |||
| | |||
| | |||
|Experimental Probability | |||
| | |||
|[[प्रायोगिक प्रायिकता]] | |||
|jaya agarwal | |||
| | |||
|- | |||
| | |||
| | |||
|Empirical Probability | |||
| | |||
|[[आनुभविक प्रायिकता]] | |||
|jaya agarwal (R) | |||
| | |||
|- | |||
| | |||
| | |||
|Impossible Event | |||
| | |||
|[[असंभव घटना]] | |||
|jaya agarwal (R) | |||
| | |||
|- | |||
| | |||
| | |||
|Certain Event | |||
| | |||
|[[निश्चित घटना]] | |||
|jaya agarwal(R) | |||
| | |||
|- | |||
| | |||
| | |||
|Elementary Event | |||
| | |||
|[[प्रारंभिक घटना]] | |||
|jaya agarwal (R) | |||
| | |||
|- | |||
| | |||
| | |||
|Complimentary Events | |||
| | |||
|[[पूरक घटना]] | |||
|jaya agarwal (R) | |||
| | |||
|- | |||
|15 | |||
|Infinite Series | |||
|Infinite Series | |||
|अनंत श्रेणी | |||
|[[अनंत श्रेणी]] | |||
|'''REMOVE''' | |||
| | |||
|- | |||
| | |||
| | |||
|Binomial theorem for any index | |||
| | |||
|[[किसी घातांक के लिए द्विपद प्रमेय]] | |||
|'''REMOVE''' | |||
| | |||
|- | |||
| | |||
| | |||
|Infinite Geometric series | |||
| | |||
|[[अनंत गुणोत्तर श्रेणी]] | |||
|'''REMOVE''' | |||
| | |||
|- | |||
| | |||
| | |||
|Exponential series | |||
| | |||
|[[चरघातांकी श्रेणी]] | |||
|'''REMOVE''' | |||
| | |||
|- | |||
| | |||
| | |||
|Logarithmic series | |||
| | |||
|[[लघुगणकीय श्रेणी]] | |||
|'''REMOVE''' | |||
| | |||
|- | |||
| | |||
| | |||
|Infinite Sequence | |||
| | |||
|[[अनंत अनुक्रम]] | |||
|'''REMOVE''' | |||
| | |||
|- | |||
| | |||
| | |||
|Binomial series | |||
| | |||
|[[द्विपद श्रेणी]] | |||
|'''REMOVE''' | |||
| | |||
|- | |||
| | |||
| | |||
|Geometric progression | |||
| | |||
|[[गुणोत्तर श्रेढ़ी]] | |||
|jaya agarwal | |||
| | |||
|- | |||
|16 | |||
|Mathematical Modelling | |||
|Mathematical Modelling | |||
|गणितीय निदर्शन | |||
|[[गणितीय निदर्शन]] | |||
|'''REMOVE''' | |||
| | |||
|- | |||
| | |||
| | |||
|Preliminaries | |||
| | |||
|[[प्रारंभिक प्रबंध]] | |||
|'''REMOVE''' | |||
| | |||
|} | |||
[[Category:Information]] | |||
!विषय | !विषय | ||
!Article Creator Name | !Article Creator Name |
Revision as of 16:42, 22 May 2024
S.No | Topic | Chapters | class="wikitable" | S.No | Topic | Chapters | अध्याय | विषय | Article Creator Name | Review by IIT Kanpur |
---|---|---|---|---|---|---|---|---|---|---|
1 | Real Numbers | Euclid's Division Lemma | वास्तविक संख्याएँ | यूक्लिड विभाजन प्रमेयिका | jaya agarwal | |||||
The Fundamental Theorem of Arithmetic | अंकगणित की आधारभूत प्रमेय | snehlata sharma | ||||||||
Revisiting Irrational Numbers | अपरिमेय संख्याओं का पुनर्भ्रमण | jaya agarwal | ||||||||
Revisiting Rational Numbers and their Decimal Expansions | परिमेय संख्याओं और उनके दशमलव प्रसारों का पुनर्भ्रमण | |||||||||
Real Numbers | वास्तविक संख्याएँ | Snehlata sharma | ||||||||
Irrational Numbers | अपरिमेय संख्याएँ | jaya agarwal (R) | ||||||||
Integers | पूर्णांक | jaya agarwal | ||||||||
Euclid division algorithm | यूक्लिड विभाजन एल्गोरिथ्म | jaya agarwal | ||||||||
Highest Common Factor (HCF) | महत्तम समापवर्तक(HCF) | |||||||||
Factorisation | गुणनखण्डन | |||||||||
LCM | लघुत्तम समापवर्त्य ( LCM) | |||||||||
Division | विभाजन | |||||||||
Multiplicaton | गुणन | |||||||||
Algorithm | कलनविधि(एल्गोरिथ्म) | |||||||||
Lemma | प्रमेयिका | |||||||||
Natural Numbers | प्राकृत संख्याएँ | Jaya agarwal | ||||||||
Prime Numbers | अभाज्य संख्याएँ | Jaya agarwal | ||||||||
Composite Numbers | भाज्य संख्याएँ | Jaya agarwal | ||||||||
Prime Factorisation Method | अभाज्य गुणनखण्डन विधि | Snehlata sharma | ||||||||
2 | Polynomials | Geometrical meaning of the zeroes of a polynomial | बहुपद | बहुपद के शून्यकों का ज्यामितीय अर्थ | ||||||
Relationship between zeroes and coefficients of a polynomial | किसी बहुपद के शून्यकों और गुणांकों में सम्बंध | jaya agarwal | ||||||||
Division Algorithm for Polynomials | बहुपदों के लिए विभाजन एल्गोरिथ्म | |||||||||
Polynomials | बहुपद | jaya agarwal | ||||||||
Linear Polynomial | रैखिक बहुपद | jaya agarwal | ||||||||
Quadratic Polynomial | द्विघात बहुपद | jaya agarwal | ||||||||
Cubic Polynomial | त्रिघात बहुपद | jaya agarwal | ||||||||
Parabolas | परवलय | |||||||||
Identity | सर्वसमिका | |||||||||
Duplicate | Division algorithm for polynomials | बहुपदों के लिए विभाजन कलनविधि(एल्गोरिथ्म) | ||||||||
3 | Pair of Linear Equations in Two variables | Pair of linear equations in two variables | दो चर वाले रैखिक समीकरण युग्म | दो चरों में रैखिक समीकरण युग्म | ||||||
Graphical solution of a pair of linear equations | रैखिक समीकरण युग्म का ग्राफीय विधि से हल | |||||||||
Algebraic method of solving a pair of linear equations | एक रैखिक समीकरण युग्म को हल करने की बीजगणितीय विधि | |||||||||
Equations reducible to a pair of linear equations in two variables | दो चरों के रैखिक समीकरणों के युग्म में बदले जा सकने वाले समीकरण | |||||||||
Equation | समीकरण | |||||||||
Linear Equations in two variables | दो चरों में रैखिक समीकरण | jaya agarwal | ||||||||
Substitution Method | प्रतिस्थापन विधि | jaya agarwal | ||||||||
Elimination Method | विलोपन विधि | jaya agarwal | ||||||||
Cross Multiplication Method | वज्र-गुणनखंड विधि | jaya agarwal | ||||||||
4 | Quadratic Equations | Euclid | द्विघात समीकरण | यूक्लिड | ||||||
Brahmagupta | ब्रह्मगुप्त | Jaya agarwal | ||||||||
Sridharacharya | श्रीधराचार्य | snehlata sharma | ||||||||
Bhaskara II | भास्कर द्वितीय | Jaya agarwal | ||||||||
Quadratic Equations | द्विघात समीकरण | jaya agarwal | ||||||||
Solution of a Quadratic Equation by Factorisation | गुणनखण्डों द्वारा द्विघात समीकरण का हल | jaya agarwal | ||||||||
Solution of a Quadratic Equation by Completing the square | द्विघात समीकरण का पूर्ण वर्ग बनाकर हल | |||||||||
Nature of Roots | मूलों की प्रकृति | jaya agarwal | ||||||||
Discriminant | विविक्तकर | |||||||||
5 | Arithmetic Progressions | nth term of an AP | समांतर श्रेढ़ीयाँ | AP का nवाँ पद | Jaya agarwal | |||||
Sum of first n terms of an AP | AP के प्रथम n पदों का योग | Jaya agarwal | ||||||||
Arithmetic Progressions | समांतर श्रेढ़ीयाँ | |||||||||
Common Difference | सार्व अंतर | |||||||||
Finite Arithmetic Progressions | परिमित समांतर श्रेढ़ीयाँ | Jaya agarwal | ||||||||
Infinite Arithmetic Progressions | अपरिमित समांतर श्रेढ़ीयाँ | jaya agarwal | ||||||||
Arithmetic Mean | समांतर माध्य | Jaya agarwal | ||||||||
6 | Triangles | Criteria for Similarity of Triangles | त्रिभुज | त्रिभुजों की समरूपता के लिए कसौटियाँ | ||||||
Congruence | सर्वांगसमता | |||||||||
Similar Figures | समरूप आकृतियाँ | |||||||||
Pythogoras Theorem | पाइथागोरस प्रमेय | |||||||||
Quadrilaterals | चतुर्भुज | Snehlata Sharma | ||||||||
Polygon | बहुभुज | |||||||||
Scale Factor | स्केल गुणक | Snehlata sharma | ||||||||
Representative Fraction | प्रतिनिधित्व भिन्न | |||||||||
Vertex | शीर्ष | |||||||||
Similarity of Triangles | त्रिभुजों की समरूपता | |||||||||
Equiangular Triangles | समानकोणिक त्रिभुज | |||||||||
Basic Proportionality Theorem | आधारभूत समानुपातिकता प्रमेय | |||||||||
Thales Theorem | थेल्स प्रमेय | |||||||||
Ray | किरण | |||||||||
Line | रेखा | Snehlata Sharma | ||||||||
Trapezium | समलंब | |||||||||
Isosceles Triangle | समद्विबाहु त्रिभुज | |||||||||
Corresponding Angles | संगत कोण | |||||||||
Line Segment | रेखाखंड | |||||||||
Side-Side-Side similarity Criterion | भुजा- भुजा- भुजा समरूपता कसौटी | |||||||||
Side-Angle-Side similarity Criterion | भुजा-कोण- भुजा समरूपता कसौटी | |||||||||
Areas of similar triangles | समरूप त्रिभुजों के क्षेत्रफल | |||||||||
Ange-Angle-Angle similarity Criterion | कोण-कोण-कोण समरूपता कसौटी | |||||||||
Angle-Angle similarity Criterion | कोण-कोण समरूपता कसौटी | |||||||||
7 | Co-ordinate Geometry | Abscissa | निर्देशांक ज्यामिति | भुज | ||||||
Ordinate | कोटि | |||||||||
Co-ordinates | निर्देशांक | |||||||||
Quadrants | चतुर्थाँश | |||||||||
Distance Formula | दूरी-सूत्र | |||||||||
Section Formula | विभाजन-सूत्र | |||||||||
Ratio | अनुपात | |||||||||
Axis | अक्ष | |||||||||
Parallelogram | समानांतर चतुर्भुज | |||||||||
Bisection | द्विविभाजन | |||||||||
Area of a triangle | त्रिभुज का क्षेत्रफल | |||||||||
Vertices | शीर्ष | |||||||||
mid-point | मध्य-बिंदु | |||||||||
8 | Trigonometry + applications | Trigonometric ratios of some specific Angles | त्रिकोणमिति के कुछ अनुप्रयोग | कुछ विशिष्ट कोणों के त्रिकोणमितीय अनुपात | ||||||
Trigonometric Ratios of Complementary Angles | पूरक कोणों के त्रिकोणमितीय अनुपात | |||||||||
Trigonometry | त्रिकोणमिति | Snehlata Sharma | ||||||||
Trigonometric ratios | त्रिकोणमितीय अनुपात | Snehlata sharma | ||||||||
Angle | कोण | |||||||||
Trigonometric Identities | त्रिकोणमितीय सर्वसमिकाएँ | |||||||||
Hypotenuse | कर्ण | |||||||||
Line of sight | दृष्टि-रेखा | |||||||||
Angle of elevation | उन्नयन कोण | |||||||||
Angle of depression | अवनमन कोण | |||||||||
Heights and Distances | ऊँचाइयाँ और दूरियाँ | |||||||||
9 | Circles | Number of Tangents from a point on a circle | वृत्त | एक बिंदु से एक वृत्त पर स्पर्श रेखाओं की संख्या | ||||||
Plane | समतल | |||||||||
Radius | त्रिज्या | |||||||||
Chord | जीवा | |||||||||
Segment | वृत्तखंड | |||||||||
Sector | त्रिज्यखंड | |||||||||
Non-intersecting Line | अप्रतिच्छेदी रेखा | |||||||||
Secant of a circle | वृत्त की छेदक रेखा | |||||||||
Tangent of a circle | वृत्त की स्पर्श रेखा | |||||||||
10 | Constructions | Division of Line Segment | रचनाएँ | रेखाखंड का विभजन | REMOVE | |||||
Construction of Tangents to a Circle | किसी वृत्त पर स्पर्श रेखाओं की रचना | REMOVE | ||||||||
Proportionality Theorem | आनुपातिकता प्रमेय | REMOVE | ||||||||
Scale Factor | स्केल गुणक | REMOVE | ||||||||
11 | Areas related to circles | Perimeter and Area of a Circle - A Review | वृत्तों से संबंधित क्षेत्रफल | वृत्त का परिमाप और क्षेत्रफल - एक समीक्षा | ||||||
Area of Sector and Segment of a circle | त्रिज्यखंड और वृत्तखंड के क्षेत्रेफल | |||||||||
Perimeter | परिमाप | |||||||||
Area of a circle | वृत्त का क्षेत्रफल | |||||||||
Area of a sector | त्रिज्यखंड का क्षेत्रफल | |||||||||
Area of a segment | वृत्तखंड का क्षेत्रफल | |||||||||
Areas of combinations of plane figures | समतल आकृतियों के संयोजनों का क्षेत्रफल | |||||||||
Circumference of a circle | वृत्त का परिकेन्द्र | |||||||||
12 | Surface Areas and Volumes | Surface area of a combination of solids | पृष्ठीय क्षेत्रफल और आयतन | ठोसों के संयोजन का पृष्ठीय क्षेत्रफल | ||||||
Volume of a combination of solids | ठोसों के संयोजन का आयतन | |||||||||
Conversion of solid from one shape to another | ठोस का एक आकार से दूसरे आकार में रूपांतरण | |||||||||
Frustum of a cone | शंकु का छिन्नक | |||||||||
13 | Statistics | Mean | सांख्यिकी | माध्य | Ramamurthy
Mani |
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Mode | बहुलक | Ramamurthy
Mani |
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Median | माध्यिका | Ramamurthy
Mani |
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Class-Interval | वर्ग अंतराल | Ramamurthy
Mani |
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Frequency | बारंबारता | |||||||||
Class-mark | वर्ग चिह्न | |||||||||
Deviation | विचलन | |||||||||
Mean - Assumed Mean Method | माध्य - कल्पित माध्य विधि | Ramamurthy
Mani |
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Mean - Direct Method | माध्य - प्रत्यक्ष विधि | Ramamurthy
Mani |
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Mean - Step - Deviation Method | माध्य - पग-विचलन विधि | Ramamurthy
Mani |
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Mode of Grouped Data | वर्गीकृत आँकड़ों का बहुलक | |||||||||
Modal Class | बहुलक वर्ग | |||||||||
Median of Grouped Data | वर्गीकृत आँकड़ों का माध्यक | |||||||||
Cumulative Frequency Table | संचयी बारंबारता सारणी | |||||||||
Statistics | सांख्यिकी | |||||||||
Median Class | माध्यिका वर्ग | |||||||||
Graphical representation of Cumulative Frequency Distribution | संचयी बारंबारता बंटन का आलेखीय निरूपण | |||||||||
Cumulative Frequency Curve | संचयी बारंबारता वक्र | |||||||||
Ogive | तोरण (Ogives) | |||||||||
14 | Probability | Probability - A Theoretical Approach | प्रायिकता | प्रायिकता - एक सैद्धांन्तिक दृष्टिकोण | ||||||
Probability | प्रायिकता | |||||||||
Theoretical Probability | सैद्धांतिक प्रायिकता | jaya agarwal | ||||||||
Classical Probability | परंपरागत प्रायिकता | jaya agarwal (R) | ||||||||
Experimental Probability | प्रायोगिक प्रायिकता | jaya agarwal | ||||||||
Empirical Probability | आनुभविक प्रायिकता | jaya agarwal (R) | ||||||||
Impossible Event | असंभव घटना | jaya agarwal (R) | ||||||||
Certain Event | निश्चित घटना | jaya agarwal(R) | ||||||||
Elementary Event | प्रारंभिक घटना | jaya agarwal (R) | ||||||||
Complimentary Events | पूरक घटना | jaya agarwal (R) | ||||||||
15 | Infinite Series | Infinite Series | अनंत श्रेणी | अनंत श्रेणी | REMOVE | |||||
Binomial theorem for any index | किसी घातांक के लिए द्विपद प्रमेय | REMOVE | ||||||||
Infinite Geometric series | अनंत गुणोत्तर श्रेणी | REMOVE | ||||||||
Exponential series | चरघातांकी श्रेणी | REMOVE | ||||||||
Logarithmic series | लघुगणकीय श्रेणी | REMOVE | ||||||||
Infinite Sequence | अनंत अनुक्रम | REMOVE | ||||||||
Binomial series | द्विपद श्रेणी | REMOVE | ||||||||
Geometric progression | गुणोत्तर श्रेढ़ी | jaya agarwal | ||||||||
16 | Mathematical Modelling | Mathematical Modelling | गणितीय निदर्शन | गणितीय निदर्शन | REMOVE | |||||
Preliminaries | प्रारंभिक प्रबंध | REMOVE |
!विषय !Article Creator Name !Review by IIT Kanpur |- |1 |Real Numbers |Euclid's Division Lemma |वास्तविक संख्याएँ |यूक्लिड विभाजन प्रमेयिका |jaya agarwal | |- | | |The Fundamental Theorem of Arithmetic | |अंकगणित की आधारभूत प्रमेय |snehlata sharma | |- | | |Revisiting Irrational Numbers | |अपरिमेय संख्याओं का पुनर्भ्रमण |jaya agarwal | |- | | |Revisiting Rational Numbers and their Decimal Expansions | |परिमेय संख्याओं और उनके दशमलव प्रसारों का पुनर्भ्रमण | | |- | | |Real Numbers | |वास्तविक संख्याएँ |Snehlata sharma | |- | | |Irrational Numbers | |अपरिमेय संख्याएँ |jaya agarwal (R) | |- | | |Integers | |पूर्णांक |jaya agarwal | |- | | |Euclid division algorithm | |यूक्लिड विभाजन एल्गोरिथ्म |jaya agarwal | |- | | |Highest Common Factor (HCF) | |महत्तम समापवर्तक(HCF) | | |- | | |Factorisation | |गुणनखण्डन | | |- | | |LCM | |लघुत्तम समापवर्त्य ( LCM) | | |- | | |Division | |विभाजन | | |- | | |Multiplicaton | |गुणन | | |- | | |Algorithm | |कलनविधि(एल्गोरिथ्म) | | |- | | |Lemma | |प्रमेयिका | | |- | | |Natural Numbers | |प्राकृत संख्याएँ |Jaya agarwal | |- | | |Prime Numbers | |अभाज्य संख्याएँ |Jaya agarwal | |- | | |Composite Numbers | |भाज्य संख्याएँ |Jaya agarwal | |- | | |Prime Factorisation Method | |अभाज्य गुणनखण्डन विधि |Snehlata sharma | |- |2 |Polynomials |Geometrical meaning of the zeroes of a polynomial |बहुपद |बहुपद के शून्यकों का ज्यामितीय अर्थ | | |- | | |Relationship between zeroes and coefficients of a polynomial | |किसी बहुपद के शून्यकों और गुणांकों में सम्बंध |jaya agarwal | |- | | |Division Algorithm for Polynomials | |बहुपदों के लिए विभाजन एल्गोरिथ्म | | |- | | |Polynomials | |बहुपद |jaya agarwal | |- | | |Linear Polynomial | |रैखिक बहुपद |jaya agarwal | |- | | |Quadratic Polynomial | |द्विघात बहुपद |jaya agarwal | |- | | |Cubic Polynomial | |त्रिघात बहुपद |jaya agarwal | |- | | |Parabolas | |परवलय | | |- | | |Identity | |सर्वसमिका | | |- | |Duplicate |Division algorithm for polynomials | |बहुपदों के लिए विभाजन कलनविधि(एल्गोरिथ्म) | | |- |3 |Pair of Linear Equations in Two variables |Pair of linear equations in two variables |दो चर वाले रैखिक समीकरण युग्म |दो चरों में रैखिक समीकरण युग्म | | |- | | |Graphical solution of a pair of linear equations | |रैखिक समीकरण युग्म का ग्राफीय विधि से हल | | |- | | |Algebraic method of solving a pair of linear equations | |एक रैखिक समीकरण युग्म को हल करने की बीजगणितीय विधि | | |- | | |Equations reducible to a pair of linear equations in two variables | |दो चरों के रैखिक समीकरणों के युग्म में बदले जा सकने वाले समीकरण | | |- | | |Equation | |समीकरण | | |- | | |Linear Equations in two variables | |दो चरों में रैखिक समीकरण |jaya agarwal | |- | | |Substitution Method | |प्रतिस्थापन विधि |jaya agarwal | |- | | |Elimination Method | |विलोपन विधि |jaya agarwal | |- | | |Cross Multiplication Method | |वज्र-गुणनखंड विधि |jaya agarwal | |- |4 |Quadratic Equations |Euclid |द्विघात समीकरण |यूक्लिड | | |- | | |Brahmagupta | |ब्रह्मगुप्त |Jaya agarwal | |- | | |Sridharacharya | |श्रीधराचार्य |snehlata sharma | |- | | |Bhaskara II | |भास्कर द्वितीय |Jaya agarwal | |- | | |Quadratic Equations | |द्विघात समीकरण |jaya agarwal | |- | | |Solution of a Quadratic Equation by Factorisation | |गुणनखण्डों द्वारा द्विघात समीकरण का हल |jaya agarwal | |- | | |Solution of a Quadratic Equation by Completing the square | |द्विघात समीकरण का पूर्ण वर्ग बनाकर हल | | |- | | |Nature of Roots | |मूलों की प्रकृति |jaya agarwal | |- | | |Discriminant | |विविक्तकर | | |- |5 |Arithmetic Progressions |nth term of an AP |समांतर श्रेढ़ीयाँ |AP का nवाँ पद |Jaya agarwal | |- | | |Sum of first n terms of an AP | |AP के प्रथम n पदों का योग |Jaya agarwal | |- | | |Arithmetic Progressions | |समांतर श्रेढ़ीयाँ | | |- | | |Common Difference | |सार्व अंतर | | |- | | |Finite Arithmetic Progressions | |परिमित समांतर श्रेढ़ीयाँ |Jaya agarwal | |- | | |Infinite Arithmetic Progressions | |अपरिमित समांतर श्रेढ़ीयाँ |jaya agarwal | |- | | |Arithmetic Mean | |समांतर माध्य |Jaya agarwal | |- |6 |Triangles |Criteria for Similarity of Triangles |त्रिभुज |त्रिभुजों की समरूपता के लिए कसौटियाँ | | |- | | |Congruence | |सर्वांगसमता | | |- | | |Similar Figures | |समरूप आकृतियाँ | | |- | | |Pythogoras Theorem | |पाइथागोरस प्रमेय | | |- | | |Quadrilaterals | |चतुर्भुज |Snehlata Sharma | |- | | |Polygon | |बहुभुज | | |- | | |Scale Factor | |स्केल गुणक |Snehlata sharma | |- | | |Representative Fraction | |प्रतिनिधित्व भिन्न | | |- | | |Vertex | |शीर्ष | | |- | | |Similarity of Triangles | |त्रिभुजों की समरूपता | | |- | | |Equiangular Triangles | |समानकोणिक त्रिभुज | | |- | | |Basic Proportionality Theorem | |आधारभूत समानुपातिकता प्रमेय | | |- | | |Thales Theorem | |थेल्स प्रमेय | | |- | | |Ray | |किरण | | |- | | |Line | |रेखा |Snehlata Sharma | |- | | |Trapezium | |समलंब | | |- | | |Isosceles Triangle | |समद्विबाहु त्रिभुज | | |- | | |Corresponding Angles | |संगत कोण | | |- | | |Line Segment | |रेखाखंड | | |- | | |Side-Side-Side similarity Criterion | |भुजा- भुजा- भुजा समरूपता कसौटी | | |- | | |Side-Angle-Side similarity Criterion | |भुजा-कोण- भुजा समरूपता कसौटी | | |- | | |Areas of similar triangles | |समरूप त्रिभुजों के क्षेत्रफल | | |- | | |Ange-Angle-Angle similarity Criterion | |कोण-कोण-कोण समरूपता कसौटी | | |- | | |Angle-Angle similarity Criterion | |कोण-कोण समरूपता कसौटी | | |- |7 |Co-ordinate Geometry |Abscissa |निर्देशांक ज्यामिति |भुज | | |- | | |Ordinate | |कोटि | | |- | | |Co-ordinates | |निर्देशांक | | |- | | |Quadrants | |चतुर्थाँश | | |- | | |Distance Formula | |दूरी-सूत्र | | |- | | |Section Formula | |विभाजन-सूत्र | | |- | | |Ratio | |अनुपात | | |- | | |Axis | |अक्ष | | |- | | |Parallelogram | |समानांतर चतुर्भुज | | |- | | |Bisection | |द्विविभाजन | | |- | | |Area of a triangle | |त्रिभुज का क्षेत्रफल | | |- | | |Vertices | |शीर्ष | | |- | | |mid-point | |मध्य-बिंदु | | |- |8 |Trigonometry + applications |Trigonometric ratios of some specific Angles |त्रिकोणमिति के कुछ अनुप्रयोग |कुछ विशिष्ट कोणों के त्रिकोणमितीय अनुपात | | |- | | |Trigonometric Ratios of Complementary Angles | |पूरक कोणों के त्रिकोणमितीय अनुपात | | |- | | |Trigonometry | |त्रिकोणमिति |Snehlata Sharma | |- | | |Trigonometric ratios | |त्रिकोणमितीय अनुपात |Snehlata sharma | |- | | |Angle | |कोण | | |- | | |Trigonometric Identities | |त्रिकोणमितीय सर्वसमिकाएँ | | |- | | |Hypotenuse | |कर्ण | | |- | | |Line of sight | |दृष्टि-रेखा | | |- | | |Angle of elevation | |उन्नयन कोण | | |- | | |Angle of depression | |अवनमन कोण | | |- | | |Heights and Distances | |ऊँचाइयाँ और दूरियाँ | | |- |9 |Circles |Number of Tangents from a point on a circle |वृत्त |एक बिंदु से एक वृत्त पर स्पर्श रेखाओं की संख्या | | |- | | |Plane | |समतल | | |- | | |Radius | |त्रिज्या | | |- | | |Chord | |जीवा | | |- | | |Segment | |वृत्तखंड | | |- | | |Sector | |त्रिज्यखंड | | |- | | |Non-intersecting Line | |अप्रतिच्छेदी रेखा | | |- | | |Secant of a circle | |वृत्त की छेदक रेखा | | |- | | |Tangent of a circle | |वृत्त की स्पर्श रेखा | | |- |10 |Constructions |Division of Line Segment |रचनाएँ |रेखाखंड का विभजन | | |- | | |Construction of Tangents to a Circle | |किसी वृत्त पर स्पर्श रेखाओं की रचना | | |- | | |Proportionality Theorem | |आनुपातिकता प्रमेय | | |- | | |Scale Factor | |स्केल गुणक | | |- |11 |Areas related to circles |Perimeter and Area of a Circle - A Review |वृत्तों से संबंधित क्षेत्रफल |वृत्त का परिमाप और क्षेत्रफल - एक समीक्षा | | |- | | |Area of Sector and Segment of a circle | |त्रिज्यखंड और वृत्तखंड के क्षेत्रेफल | | |- | | |Perimeter | |परिमाप | | |- | | |Area of a circle | |वृत्त का क्षेत्रफल | | |- | | |Area of a sector | |त्रिज्यखंड का क्षेत्रफल | | |- | | |Area of a segment | |वृत्तखंड का क्षेत्रफल | | |- | | |Areas of combinations of plane figures | |समतल आकृतियों के संयोजनों का क्षेत्रफल | | |- | | |Circumference of a circle | |वृत्त का परिकेन्द्र | | |- |12 |Surface Areas and Volumes |Surface area of a combination of solids |पृष्ठीय क्षेत्रफल और आयतन |ठोसों के संयोजन का पृष्ठीय क्षेत्रफल | | |- | | |Volume of a combination of solids | |ठोसों के संयोजन का आयतन | | |- | | |Conversion of solid from one shape to another | |ठोस का एक आकार से दूसरे आकार में रूपांतरण | | |- | | |Frustum of a cone | |शंकु का छिन्नक | | |- |13 |Statistics |Mean |सांख्यिकी |माध्य |Ramamurthy Mani | |- | | |Mode | |बहुलक |Ramamurthy Mani | |- | | |Median | |माध्यिका |Ramamurthy Mani | |- | | |Class-Interval | |वर्ग अंतराल |Ramamurthy Mani | |- | | |Frequency | |बारंबारता | | |- | | |Class-mark | |वर्ग चिह्न | | |- | | |Deviation | |विचलन | | |- | | |Mean - Assumed Mean Method | |माध्य - कल्पित माध्य विधि |Ramamurthy Mani | |- | | |Mean - Direct Method | |माध्य - प्रत्यक्ष विधि |Ramamurthy Mani | |- | | |Mean - Step - Deviation Method | |माध्य - पग-विचलन विधि |Ramamurthy Mani | |- | | |Mode of Grouped Data | |वर्गीकृत आँकड़ों का बहुलक | | |- | | |Modal Class | |बहुलक वर्ग | | |- | | |Median of Grouped Data | |वर्गीकृत आँकड़ों का माध्यक | | |- | | |Cumulative Frequency Table | |संचयी बारंबारता सारणी | | |- | | |Statistics | |सांख्यिकी | | |- | | |Median Class | |माध्यिका वर्ग | | |- | | |Graphical representation of Cumulative Frequency Distribution | |संचयी बारंबारता बंटन का आलेखीय निरूपण | | |- | | |Cumulative Frequency Curve | |संचयी बारंबारता वक्र | | |- | | |Ogive | |तोरण (Ogives) | | |- |14 |Probability |Probability - A Theoretical Approach |प्रायिकता |प्रायिकता - एक सैद्धांन्तिक दृष्टिकोण | | |- | | |Probability | |प्रायिकता | | |- | | |Theoretical Probability | |सैद्धांतिक प्रायिकता |jaya agarwal | |- | | |Classical Probability | |परंपरागत प्रायिकता |jaya agarwal (R) | |- | | |Experimental Probability | |प्रायोगिक प्रायिकता |jaya agarwal | |- | | |Empirical Probability | |आनुभविक प्रायिकता |jaya agarwal (R) | |- | | |Impossible Event | |असंभव घटना |jaya agarwal (R) | |- | | |Certain Event | |निश्चित घटना |jaya agarwal(R) | |- | | |Elementary Event | |प्रारंभिक घटना |jaya agarwal (R) | |- | | |Complimentary Events | |पूरक घटना |jaya agarwal (R) | |- |15 |Infinite Series |Infinite Series |अनंत श्रेणी |अनंत श्रेणी | | |- | | |Binomial theorem for any index | |किसी घातांक के लिए द्विपद प्रमेय | | |- | | |Infinite Geometric series | |अनंत गुणोत्तर श्रेणी | | |- | | |Exponential series | |चरघातांकी श्रेणी | | |- | | |Logarithmic series | |लघुगणकीय श्रेणी | | |- | | |Infinite Sequence | |अनंत अनुक्रम | | |- | | |Binomial series | |द्विपद श्रेणी | | |- | | |Geometric progression | |गुणोत्तर श्रेढ़ी |jaya agarwal | |- |16 |Mathematical Modelling |Mathematical Modelling |गणितीय निदर्शन |गणितीय निदर्शन | | |- | | |Preliminaries | |प्रारंभिक प्रबंध | | |}