Taxonomy for Mathematics Articles-11th Class: Difference between revisions
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!Chapters | !Chapters | ||
!Topics | !Topics | ||
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!'''अध्याय''' | !'''अध्याय''' | ||
!विषय | !विषय | ||
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|Sets | |Sets | ||
|Sets and their representations | |Sets and their representations | ||
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|समुच्चय | |समुच्चय | ||
|[[समुच्चय और उनका निरूपण]] | |[[समुच्चय और उनका निरूपण]] | ||
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|The Empty Set/Void Set | |The Empty Set/Void Set | ||
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|[[रिक्त समुच्चय]] | |[[रिक्त समुच्चय]] | ||
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|Finite and Infinite Sets | |Finite and Infinite Sets | ||
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|[[परिमित और अपरिमित समुच्चय]] | |[[परिमित और अपरिमित समुच्चय]] | ||
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|Equal Sets | |Equal Sets | ||
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|[[समान समुच्चय]] | |[[समान समुच्चय]] | ||
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|Subsets | |Subsets | ||
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|[[उपसमुच्चय]] | |[[उपसमुच्चय]] | ||
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|Power Set | |Power Set | ||
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|[[घात समुच्चय]] | |[[घात समुच्चय]] | ||
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|Universal Set | |Universal Set | ||
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|[[सार्वत्रिक समुच्चय]] | |[[सार्वत्रिक समुच्चय]] | ||
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|Venn Diagrams | |Venn Diagrams | ||
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|[[वेन आरेख]] | |[[वेन आरेख]] | ||
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|Operations on Sets | |Operations on Sets | ||
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|[[समुच्चयों पर संक्रियाएँ]] | |[[समुच्चयों पर संक्रियाएँ]] | ||
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|Complement of a Set | |Complement of a Set | ||
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|[[समुच्चय का पूरक]] | |[[समुच्चय का पूरक]] | ||
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|Practical Problems on Union and Intersection of Two Sets | |Practical Problems on Union and Intersection of Two Sets | ||
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|[[दो समुच्चयों के सम्मिलन और सर्वनिष्ठ पर आधारित व्यावहारिक प्रश्न]] | |[[दो समुच्चयों के सम्मिलन और सर्वनिष्ठ पर आधारित व्यावहारिक प्रश्न]] | ||
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|Sets | |Sets | ||
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|[[समुच्चय]] | |[[समुच्चय]] | ||
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|Geometry | |Geometry | ||
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|[[ज्यामिति]] | |[[ज्यामिति]] | ||
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|Sequences | |Sequences | ||
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|[[अनुक्रम]] | |[[अनुक्रम]] | ||
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|Probability | |Probability | ||
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|[[प्रायिकता]] | |[[प्रायिकता]] | ||
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|Trigonometric series | |Trigonometric series | ||
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|[[त्रिकोणमितीय श्रेणी]] | |[[त्रिकोणमितीय श्रेणी]] | ||
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|Natural Numbers | |Natural Numbers | ||
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|[[प्राकृत संख्याएँ]] | |[[प्राकृत संख्याएँ]] | ||
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|Prime Numbers | |Prime Numbers | ||
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|[[अभाज्य संख्याएँ]] | |[[अभाज्य संख्याएँ]] | ||
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|Triangles | |Triangles | ||
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|[[त्रिभुज]] | |[[त्रिभुज]] | ||
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|Prime factors | |Prime factors | ||
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|[[अभाज्य गुणनखंड]] | |[[अभाज्य गुणनखंड]] | ||
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|Equation | |Equation | ||
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|[[समीकरण]] | |[[समीकरण]] | ||
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|Integers | |Integers | ||
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|[[पूर्णांक]] | |[[पूर्णांक]] | ||
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|Rational Numbers | |Rational Numbers | ||
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|[[परिमेय संख्याएँ]] | |[[परिमेय संख्याएँ]] | ||
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|Real Numbers | |Real Numbers | ||
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|[[वास्तविक संख्याएँ]] | |[[वास्तविक संख्याएँ]] | ||
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|Roster or tabular form (Sets) | |Roster or tabular form (Sets) | ||
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|[[रोस्टर या सारणीबद्ध रूप (समुच्चय)]] | |[[रोस्टर या सारणीबद्ध रूप (समुच्चय)]] | ||
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|Set-builder form (Sets) | |Set-builder form (Sets) | ||
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|[[समुच्चय-निर्माण रूप(समुच्चय)]] | |[[समुच्चय-निर्माण रूप(समुच्चय)]] | ||
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|Null Set | |Null Set | ||
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|[[शून्य समुच्चय]] | |[[शून्य समुच्चय]] | ||
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|Superset | |Superset | ||
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|[[अधिसमुच्चय]] | |[[अधिसमुच्चय]] | ||
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|Singleton set | |Singleton set | ||
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|[[एकल समुच्चय]] | |[[एकल समुच्चय]] | ||
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|Closed Interval | |Closed Interval | ||
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|[[संवृत(बंद) अंतराल]] | |[[संवृत(बंद) अंतराल]] | ||
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|Open Interval | |Open Interval | ||
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|[[खुला अंतराल]] | |[[खुला अंतराल]] | ||
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|Union (sets) | |Union (sets) | ||
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|[[सम्मिलन(समुच्चय)]] | |[[सम्मिलन(समुच्चय)]] | ||
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|Intersection (sets) | |Intersection (sets) | ||
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|[[सर्वनिष्ट(समुच्चय)]] | |[[सर्वनिष्ट(समुच्चय)]] | ||
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|Disjoint Sets | |Disjoint Sets | ||
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|[[असंयुक्त समुच्चय]] | |[[असंयुक्त समुच्चय]] | ||
|- | |- | ||
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|Relations and Functions | |Relations and Functions | ||
|Cartesian Product of Sets | |Cartesian Product of Sets | ||
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|संबंध और फलन | |संबंध और फलन | ||
|[[समुच्चयों का कार्टेशियन गुणन]] | |[[समुच्चयों का कार्टेशियन गुणन]] | ||
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|Relations | |Relations | ||
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|[[संबंध]] | |[[संबंध]] | ||
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|Functions | |Functions | ||
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|[[फलन]] | |[[फलन]] | ||
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|Ordered triplet | |Ordered triplet | ||
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|[[क्रमित त्रिक]] | |[[क्रमित त्रिक]] | ||
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|Domain (sets) | |Domain (sets) | ||
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|[[प्रांत(समुच्चय)]] | |[[प्रांत(समुच्चय)]] | ||
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|Range (Sets) | |Range (Sets) | ||
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|[[परिसर(समुच्चय)]] | |[[परिसर(समुच्चय)]] | ||
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|Arrow diagram (Sets) | |Arrow diagram (Sets) | ||
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|[[दृष्टि चित्रण(समुच्चय)]] | |[[दृष्टि चित्रण(समुच्चय)]] | ||
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|Codomain (Sets) | |Codomain (Sets) | ||
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|[[सहप्रांत(समुच्चय)]] | |[[सहप्रांत(समुच्चय)]] | ||
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|Real Function | |Real Function | ||
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|[[वास्तविक फलन]] | |[[वास्तविक फलन]] | ||
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|Identity function (sets) | |Identity function (sets) | ||
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|[[तत्समक फलन(समुच्चय)]] | |[[तत्समक फलन(समुच्चय)]] | ||
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|Constant function (sets) | |Constant function (sets) | ||
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|[[अचर फलन(समुच्चय)]] | |[[अचर फलन(समुच्चय)]] | ||
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|Polynomial functions (sets) | |Polynomial functions (sets) | ||
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|[[बहुपदीय फलन(समुच्चय)]] | |[[बहुपदीय फलन(समुच्चय)]] | ||
| Line 291: | Line 339: | ||
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|Rational functions (sets) | |Rational functions (sets) | ||
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|[[परिमेय फलन(समुच्चय)]] | |[[परिमेय फलन(समुच्चय)]] | ||
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|Modulus function (sets) | |Modulus function (sets) | ||
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|[[मापांक फलन(समुच्चय)]] | |[[मापांक फलन(समुच्चय)]] | ||
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|Signum function (sets) | |Signum function (sets) | ||
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|[[चिन्ह फलन(समुच्चय)]] | |[[चिन्ह फलन(समुच्चय)]] | ||
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|Greatest integer function (sets) | |Greatest integer function (sets) | ||
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|[[महत्तम पूर्णांक फलन(समुच्चय)]] | |[[महत्तम पूर्णांक फलन(समुच्चय)]] | ||
|- | |- | ||
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| Line 321: | Line 374: | ||
|Trignometric Functions | |Trignometric Functions | ||
|Angles | |Angles | ||
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|त्रिकोणमितीय फलन | |त्रिकोणमितीय फलन | ||
|[[कोण]] | |[[कोण]] | ||
| Line 327: | Line 381: | ||
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|Trigonometric Functions | |Trigonometric Functions | ||
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|[[त्रिकोणमितीय फलन]] | |[[त्रिकोणमितीय फलन]] | ||
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|Trigonometric Functions of Sum and Difference of Two Angles | |Trigonometric Functions of Sum and Difference of Two Angles | ||
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|[[दो कोणों के योग और अंतर का त्रिकोणमितीय फलन]] | |[[दो कोणों के योग और अंतर का त्रिकोणमितीय फलन]] | ||
| Line 339: | Line 395: | ||
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|Trigonometric Equations | |Trigonometric Equations | ||
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|[[त्रिकोणमितीय समीकरण]] | |[[त्रिकोणमितीय समीकरण]] | ||
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|Trigonometry | |Trigonometry | ||
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|[[त्रिकोणमिति]] | |[[त्रिकोणमिति]] | ||
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|Quadrantal angles | |Quadrantal angles | ||
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|[[चतुर्थाँशीय कोण]] | |[[चतुर्थाँशीय कोण]] | ||
| Line 357: | Line 416: | ||
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|Trigonometric identities | |Trigonometric identities | ||
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|[[त्रिकोणमितीय सर्वसमिकाएँ]] | |[[त्रिकोणमितीय सर्वसमिकाएँ]] | ||
| Line 363: | Line 423: | ||
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|Prinicipal solutions | |Prinicipal solutions | ||
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|[[मुख्य हल]] | |[[मुख्य हल]] | ||
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|General solution | |General solution | ||
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|[[व्यापक हल]] | |[[व्यापक हल]] | ||
|- | |- | ||
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| Line 381: | Line 444: | ||
|Principle of Mathematical Induction | |Principle of Mathematical Induction | ||
|Motivation | |Motivation | ||
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|गणितीय आगमन का सिद्धांत | |गणितीय आगमन का सिद्धांत | ||
|[[प्रेरणा]] | |[[प्रेरणा]] | ||
| Line 387: | Line 451: | ||
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|The Principle of Mathematical Induction | |The Principle of Mathematical Induction | ||
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|[[गणितीय आगमन का सिद्धांत]] | |[[गणितीय आगमन का सिद्धांत]] | ||
| Line 393: | Line 458: | ||
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|Conjecture | |Conjecture | ||
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|[[अनुमान(कंजेक्चर)]] | |[[अनुमान(कंजेक्चर)]] | ||
| Line 399: | Line 465: | ||
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|Inductive hypothesis | |Inductive hypothesis | ||
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|[[आगमन परिकल्पना]] | |[[आगमन परिकल्पना]] | ||
|- | |- | ||
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| Line 411: | Line 479: | ||
|Complex Numbers and Quadratic Equations | |Complex Numbers and Quadratic Equations | ||
|Complex Numbers | |Complex Numbers | ||
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|सम्मिश्र संख्याएँ और द्विघातीय समीकरण | |सम्मिश्र संख्याएँ और द्विघातीय समीकरण | ||
|[[सम्मिश्र संख्याएँ]] | |[[सम्मिश्र संख्याएँ]] | ||
| Line 417: | Line 486: | ||
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|Algebra of Complex Numbers | |Algebra of Complex Numbers | ||
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|[[सम्मिश्र संख्याओं का बीजगणित]] | |[[सम्मिश्र संख्याओं का बीजगणित]] | ||
| Line 423: | Line 493: | ||
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|The Modulus and the Conjugate of a Complex Number | |The Modulus and the Conjugate of a Complex Number | ||
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|[[सम्मिश्र संख्या का मापांक और संयुग्मी]] | |[[सम्मिश्र संख्या का मापांक और संयुग्मी]] | ||
| Line 429: | Line 500: | ||
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|Argand Plane and Polar Representation | |Argand Plane and Polar Representation | ||
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|[[आर्गंड तल और ध्रुवीय निरूपण]] | |[[आर्गंड तल और ध्रुवीय निरूपण]] | ||
| Line 435: | Line 507: | ||
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|Quadratic Equations | |Quadratic Equations | ||
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|[[द्विघातीय समीकरण]] | |[[द्विघातीय समीकरण]] | ||
| Line 441: | Line 514: | ||
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|Linear equations | |Linear equations | ||
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|[[रैखिक समीकरण]] | |[[रैखिक समीकरण]] | ||
| Line 447: | Line 521: | ||
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|Closure Law | |Closure Law | ||
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|[[संवरक नियम]] | |[[संवरक नियम]] | ||
| Line 453: | Line 528: | ||
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|Commutative Law | |Commutative Law | ||
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|[[क्रम विनिमय नियम]] | |[[क्रम विनिमय नियम]] | ||
| Line 459: | Line 535: | ||
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|Associative Law | |Associative Law | ||
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|[[साहचर्य नियम]] | |[[साहचर्य नियम]] | ||
| Line 465: | Line 542: | ||
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|Additive Inverse | |Additive Inverse | ||
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|[[योगात्मक प्रतिलोम]] | |[[योगात्मक प्रतिलोम]] | ||
| Line 471: | Line 549: | ||
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|Additive Identity | |Additive Identity | ||
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|[[योगात्मक तत्समक]] | |[[योगात्मक तत्समक]] | ||
| Line 477: | Line 556: | ||
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|Multiplicative identity | |Multiplicative identity | ||
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|[[गुणात्मक तत्समक]] | |[[गुणात्मक तत्समक]] | ||
| Line 483: | Line 563: | ||
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|Multiplicative inverse | |Multiplicative inverse | ||
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|[[गुणात्मक प्रतिलोम]] | |[[गुणात्मक प्रतिलोम]] | ||
| Line 489: | Line 570: | ||
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|Complex plane | |Complex plane | ||
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|[[सम्मिश्र तल]] | |[[सम्मिश्र तल]] | ||
| Line 495: | Line 577: | ||
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|Real axis | |Real axis | ||
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|[[वास्तविक अक्ष]] | |[[वास्तविक अक्ष]] | ||
| Line 501: | Line 584: | ||
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|Imaginary axis | |Imaginary axis | ||
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|[[काल्पनिक अक्ष]] | |[[काल्पनिक अक्ष]] | ||
| Line 507: | Line 591: | ||
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|Polar co-ordinates | |Polar co-ordinates | ||
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|[[ध्रुवीय निर्देशांक]] | |[[ध्रुवीय निर्देशांक]] | ||
| Line 513: | Line 598: | ||
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|Principal argument | |Principal argument | ||
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|[[मुख्य आयाम]] | |[[मुख्य आयाम]] | ||
|- | |- | ||
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| Line 525: | Line 612: | ||
|Linear Inequalities | |Linear Inequalities | ||
|Inequalities | |Inequalities | ||
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|रैखिक असमिकाएँ | |रैखिक असमिकाएँ | ||
|[[असमिकाएँ]] | |[[असमिकाएँ]] | ||
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|Algebraic Solutions of Linear Inequalities in One Variable and | |Algebraic Solutions of Linear Inequalities in One Variable and | ||
their Graphical Representation | their Graphical Representation | ||
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|[[एक चर राशि के रैखिक असमिकाओं का बीजगणितीय हल और उनका आलेखीय निरूपण]] | |[[एक चर राशि के रैखिक असमिकाओं का बीजगणितीय हल और उनका आलेखीय निरूपण]] | ||
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|Graphical Solution of Linear Inequalities in Two Variables | |Graphical Solution of Linear Inequalities in Two Variables | ||
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|[[दो चर राशियों के रैखिक असमिकाओं का आलेखीय हल]] | |[[दो चर राशियों के रैखिक असमिकाओं का आलेखीय हल]] | ||
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|Solutions of System of Linear Inequalities in Two Variables | |Solutions of System of Linear Inequalities in Two Variables | ||
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|[[दो चर राशियों की असमिका निकाय का हल]] | |[[दो चर राशियों की असमिका निकाय का हल]] | ||
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|Numerical inequalities | |Numerical inequalities | ||
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|[[संख्यांक असमिकाएँ]] | |[[संख्यांक असमिकाएँ]] | ||
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|Literal inequalities | |Literal inequalities | ||
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|[[शाब्दिक असमिकाएँ]] | |[[शाब्दिक असमिकाएँ]] | ||
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|Strict inequalities | |Strict inequalities | ||
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|[[सुनिश्चित असमिकाएँ]] | |[[सुनिश्चित असमिकाएँ]] | ||
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|Linear inequalities | |Linear inequalities | ||
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|[[रैखिक असमिकाएँ]] | |[[रैखिक असमिकाएँ]] | ||
|- | |- | ||
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|Permutations and Combinations | |Permutations and Combinations | ||
|Fundamental Principle of Counting | |Fundamental Principle of Counting | ||
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|क्रमचय और संचय | |क्रमचय और संचय | ||
|[[गणना का आधारभूत सिद्धांत]] | |[[गणना का आधारभूत सिद्धांत]] | ||
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|Permutations | |Permutations | ||
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|[[क्रमचय]] | |[[क्रमचय]] | ||
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