Mani: Created page with "{| class="wikitable" !S.No !Chapters !Topics !'''Article Creator Name''' !'''अध्याय''' !विषय |- |1 |Sets |1.Sets and their representations |Ramamurthy Mani |समुच्चय |समुच्चय और उनका निरूपण |- | | |2.The Empty Set |Ramamurthy Mani | |रिक्त समुच्चय |- | | |3.Finite and Infinite Sets |Ramamurthy Mani | |परिमित और अपरिमित समुच्च..."

2024-11-06T00:58:32Z

Created page with "{| class="wikitable" !S.No !Chapters !Topics !'''Article Creator Name''' !'''अध्याय''' !विषय |- |1 |Sets |1.Sets and their representations |Ramamurthy Mani |समुच्चय |समुच्चय और उनका निरूपण |- | | |2.The Empty Set |Ramamurthy Mani | |रिक्त समुच्चय |- | | |3.Finite and Infinite Sets |Ramamurthy Mani | |परिमित और अपरिमित समुच्च..."

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{| class="wikitable"
!S.No
!Chapters
!Topics
!'''Article Creator Name'''
!'''अध्याय'''
!विषय
|-
|1
|Sets
|1.Sets and their representations
|Ramamurthy
Mani
|समुच्चय
|[[समुच्चय और उनका निरूपण]]
|-
|
|
|2.The Empty Set
|Ramamurthy
Mani
|
|[[रिक्त समुच्चय]]
|-
|
|
|3.Finite and Infinite Sets
|Ramamurthy
Mani
|
|[[परिमित और अपरिमित समुच्चय]]
|-
|
|
|4.Equal Sets
|Ramamurthy
Mani
|
|[[समान समुच्चय]]
|-
|
|
|5.Subsets
|Mani
|
|[[उपसमुच्चय]]
|-
|
|
|5.1 Subsets of set of real numbers
|
|
|
|-
|
|
|5.2 Intervals as subsets of R
|
|
|
|-
|
|
|Power Set
|Ramamurthy
Mani
|
|[[घात समुच्चय]]
|-
|
|
|6.Universal Set
|Ramamurthy
Mani
|
|[[सार्वत्रिक समुच्चय]]
|-
|
|
|7.Venn Diagrams
|Ramamurthy
Mani
|
|[[वेन आरेख]]
|-
|
|
|8.Operations on Sets
|Ramamurthy
Mani
|
|[[समुच्चयों पर संक्रियाएँ]]
|-
|
|
|9. Complement of a Set
|Mani
|
|[[समुच्चय का पूरक]]
|-
|
|
|Practical Problems on Union and Intersection of Two Sets
|
|
|[[दो समुच्चयों के सम्मिलन और सर्वनिष्ठ पर आधारित व्यावहारिक प्रश्न]]
|-
|
|
|Sets
|
|
|[[समुच्चय]]
|-
|
|
|Geometry
|
|
|[[ज्यामिति]]
|-
|
|
|Sequences
|
|
|[[अनुक्रम]]
|-
|
|
|Probability
|
|
|[[प्रायिकता]]
|-
|
|
|Trigonometric series
|
|
|[[त्रिकोणमितीय श्रेणी]]
|-
|
|
|Natural Numbers
|
|
|[[प्राकृत संख्याएँ]]
|-
|
|
|Prime Numbers
|
|
|[[अभाज्य संख्याएँ]]
|-
|
|
|Triangles
|
|
|[[त्रिभुज]]
|-
|
|
|Prime factors
|
|
|[[अभाज्य गुणनखंड]]
|-
|
|
|Equation
|
|
|[[समीकरण]]
|-
|
|
|Integers
|
|
|[[पूर्णांक]]
|-
|
|
|Rational Numbers
|
|
|[[परिमेय संख्याएँ]]
|-
|
|
|Real Numbers
|
|
|[[वास्तविक संख्याएँ]]
|-
|
|
|Roster or tabular form (Sets)
|
|
|[[रोस्टर या सारणीबद्ध रूप (समुच्चय)]]
|-
|
|
|Set-builder form (Sets)
|
|
|[[समुच्चय-निर्माण रूप(समुच्चय)]]
|-
|
|
|Null Set
|
|
|[[शून्य समुच्चय]]
|-
|
|
|Superset
|
|
|[[अधिसमुच्चय]]
|-
|
|
|Singleton set
|
|
|[[एकल समुच्चय]]
|-
|
|
|Closed Interval
|
|
|[[संवृत(बंद) अंतराल]]
|-
|
|
|Open Interval
|
|
|[[खुला अंतराल]]
|-
|
|
|8.1 Union of sets
|
|
|[[सम्मिलन(समुच्चय)]]
|-
|
|
|8.2 Intersection of sets
|
|
|[[सर्वनिष्ट(समुच्चय)]]
|-
|
|
|8.3 Difference of sets
|
|
|
|-
|
|
|Disjoint Sets
|
|
|[[असंयुक्त समुच्चय]]
|-
|
|
|
|
|
|
|-
|2
|Relations and Functions
|1.Cartesian Product of Sets
|
|संबंध और फलन
|[[समुच्चयों का कार्टेशियन गुणन]]
|-
|
|
|2.Relations
|
|
|[[संबंध]]
|-
|
|
|3.Functions
|
|
|[[फलन]]
|-
|
|
|3.1. Some functions and their graphs
|
|
|
|-
|
|
|3.2 Algebra of real functions
|
|
|
|-
|
|
|Ordered triplet
|
|
|[[क्रमित त्रिक]]
|-
|
|
|Domain (sets)
|
|
|[[प्रांत(समुच्चय)]]
|-
|
|
|Range (Sets)
|
|
|[[परिसर(समुच्चय)]]
|-
|
|
|Arrow diagram (Sets)
|
|
|[[दृष्टि चित्रण(समुच्चय)]]
|-
|
|
|Codomain (Sets)
|
|
|[[सहप्रांत(समुच्चय)]]
|-
|
|
|Real Function
|
|
|[[वास्तविक फलन]]
|-
|
|
|Identity function (sets)
|
|
|[[तत्समक फलन(समुच्चय)]]
|-
|
|
|Constant function (sets)
|
|
|[[अचर फलन(समुच्चय)]]
|-
|
|
|Polynomial functions (sets)
|
|
|[[बहुपदीय फलन(समुच्चय)]]
|-
|
|
|Rational functions (sets)
|
|
|[[परिमेय फलन(समुच्चय)]]
|-
|
|
|Modulus function (sets)
|
|
|[[मापांक फलन(समुच्चय)]]
|-
|
|
|Signum function (sets)
|
|
|[[चिन्ह फलन(समुच्चय)]]
|-
|
|
|Greatest integer function (sets)
|
|
|[[महत्तम पूर्णांक फलन(समुच्चय)]]
|-
|
|
|
|
|
|
|-
|3
|Trignometric Functions
|1.Angles
|Ramamurthy
Mani
|त्रिकोणमितीय फलन
|[[कोण]]
|-
|
|
|1.1 Degree Measure
|
|
|
|-
|
|
|1.2 Radian Measure
|
|
|
|-
|
|
|1.3 Relation between radian and real numbers
|
|
|
|-
|
|
|1.4 Relation between degree and radian
|
|
|
|-
|
|
|2.Trigonometric Functions
|
|
|[[त्रिकोणमितीय फलन]]
|-
|
|
|2.1 Sign of trigonometric functions
|
|
|
|-
|
|
|2.2 Domain and range of trigonometric functions
|
|
|
|-
|
|
|3.Trigonometric Functions of Sum and Difference of Two Angles
|
|
|[[दो कोणों के योग और अंतर का त्रिकोणमितीय फलन]]
|-
|
|
|Trigonometric Equations
|
|
|[[त्रिकोणमितीय समीकरण]]
|-
|
|
|Trigonometry
|
|
|[[त्रिकोणमिति]]
|-
|
|
|Quadrantal angles
|
|
|[[चतुर्थाँशीय कोण]]
|-
|
|
|Trigonometric identities
|
|
|[[त्रिकोणमितीय सर्वसमिकाएँ]]
|-
|
|
|Prinicipal solutions
|
|
|[[मुख्य हल]]
|-
|
|
|General solution
|
|
|[[व्यापक हल]]
|-
|
|
|
|
|
|
|-
|4
|Principle of Mathematical Induction
|Motivation
|
|गणितीय आगमन का सिद्धांत
|[[प्रेरणा]]
|-
|
|
|The Principle of Mathematical Induction
|
|
|[[गणितीय आगमन का सिद्धांत]]
|-
|
|
|Conjecture
|
|
|[[अनुमान(कंजेक्चर)]]
|-
|
|
|Inductive hypothesis
|
|
|[[आगमन परिकल्पना]]
|-
|
|
|
|
|
|
|-
|5
|Complex Numbers and Quadratic Equations
|1.Complex Numbers
|Ramamurthy
Mani
|सम्मिश्र संख्याएँ और द्विघातीय समीकरण
|[[सम्मिश्र संख्याएँ]]
|-
|
|
|2.Algebra of Complex Numbers
|Ramamurthy
Mani
|
|[[सम्मिश्र संख्याओं का बीजगणित]]
|-
|
|
|2.1 Addition of two complex numbers
|
|
|
|-
|
|
|2.2 Difference of two complex numbers
|
|
|
|-
|
|
|2.3 Multiplication of two complex numbers
|
|
|
|-
|
|
|2.4 Division of two complex numbers
|
|
|
|-
|
|
|2.5 Power of i
|
|
|
|-
|
|
|2.6 The square roots of a negative real number
|
|
|
|-
|
|
|2.7 Identities
|
|
|
|-
|
|
|3.The Modulus and the Conjugate of a Complex Number
|Ramamurthy
Mani
|
|[[सम्मिश्र संख्या का मापांक और संयुग्मी]]
|-
|
|
|4.Argand Plane and Polar Representation
|Ramamurthy
Mani
|
|[[आर्गंड तल और ध्रुवीय निरूपण]]
|-
|
|
|Quadratic Equations
|Mani
|
|[[द्विघातीय समीकरण]]
|-
|
|
|Linear equations
|Ramamurthy
Mani
|
|[[रैखिक समीकरण]]
|-
|
|
|Closure Law
|
|
|[[संवरक नियम]]
|-
|
|
|Commutative Law
|
|
|[[क्रम विनिमय नियम]]
|-
|
|
|Associative Law
|
|
|[[साहचर्य नियम]]
|-
|
|
|Additive Inverse
|Ramamurthy
Mani
|
|[[योगात्मक प्रतिलोम]]
|-
|
|
|Additive Identity
|Ramamurthy
Mani
|
|[[योगात्मक तत्समक]]
|-
|
|
|Multiplicative identity
|Ramamurthy
Mani
|
|[[गुणात्मक तत्समक]]
|-
|
|
|Multiplicative inverse
|Ramamurthy
Mani
|
|[[गुणात्मक प्रतिलोम]]
|-
|
|
|Complex plane
|Mani
|
|[[सम्मिश्र तल]]
|-
|
|
|Real axis
|
|
|[[वास्तविक अक्ष]]
|-
|
|
|Imaginary axis
|
|
|[[काल्पनिक अक्ष]]
|-
|
|
|Polar co-ordinates
|
|
|[[ध्रुवीय निर्देशांक]]
|-
|
|
|Principal argument
|
|
|[[मुख्य आयाम]]
|-
|
|
|
|
|
|
|-
|6
|Linear Inequalities
|Inequalities
|
|रैखिक असमिकाएँ
|[[असमिकाएँ]]
|-
|
|
|Algebraic Solutions of Linear Inequalities in One Variable and
their Graphical Representation
|
|
|[[एक चर राशि के रैखिक असमिकाओं का बीजगणितीय हल और उनका आलेखीय निरूपण]]
|-
|
|
|Graphical Solution of Linear Inequalities in Two Variables
|
|
|[[दो चर राशियों के रैखिक असमिकाओं का आलेखीय हल]]
|-
|
|
|Solutions of System of Linear Inequalities in Two Variables
|
|
|[[दो चर राशियों की असमिका निकाय का हल]]
|-
|
|
|Numerical inequalities
|
|
|[[संख्यांक असमिकाएँ]]
|-
|
|
|Literal inequalities
|
|
|[[शाब्दिक असमिकाएँ]]
|-
|
|
|Strict inequalities
|
|
|[[सुनिश्चित असमिकाएँ]]
|-
|
|
|Linear inequalities
|
|
|[[रैखिक असमिकाएँ]]
|-
|
|
|
|
|
|
|-
|7
|Permutations and Combinations
|Fundamental Principle of Counting
|
|क्रमचय और संचय
|[[गणना का आधारभूत सिद्धांत]]
|-
|
|
|Permutations
|
|
|[[क्रमचय]]
|-
|
|
|Combinations
|
|
|[[संचय]]
|-
|
|
|Multiplication principle
|
|
|[[गुणन सिद्धांत]]
|-
|
|
|
|
|
|
|-
|8
|Binomial Theorem
|Binomial Theorem for Positive Integral Indices
|
|द्विपद प्रमेय
|[[धन पूर्णांकों के लिए द्विपद प्रमेय]]
|-
|
|
|General and Middle Terms
|
|
|[[व्यापक एवं मध्य पद]]
|-
|
|
|Binomial theorem
|
|
|[[द्विपद प्रमेय]]
|-
|
|
|Pascal's triangle
|
|
|[[पास्कल त्रिभुज]]
|-
|
|
|
|
|
|
|-
|9
|Sequences and Series
|Sequences
|Ramamurthy Mani
|अनुक्रम तथा श्रेणी
|[[अनुक्रम]]
|-
|
|
|Series
|Ramamurthy
Mani
|
|[[श्रेणी]]
|-
|
|
|Arithmetic Progression(A.P)
|
|
|[[समांतर श्रेढ़ी]]
|-
|
|
|Geometric Progression(G.P)
|Ramamurthy
Mani
|
|[[गुणोत्तर श्रेढ़ी]]
|-
|
|
|Relationship between A.M and G.M
|Ramamurthy
Mani
|
|[[समांतर माध्य और गुणोत्तर माध्य के बीच संबंध]]
|-
|
|
|Sum to n terms of Special Series
|
|
|[[विशेष अनुक्रमों के n पदों का योगफल]]
|-
|
|
|Progressions
|
|
|[[श्रेढ़ी]]
|-
|
|
|Terms
|
|
|[[पद]]
|-
|
|
|General term
|
|
|[[व्यापक पद]]
|-
|
|
|Finite Sequence
|
|
|[[परिमित अनुक्रम]]
|-
|
|
|Infinite sequence
|
|
|[[अपरिमित अनुक्रम]]
|-
|
|
|Fibonacci Sequence
|Ramamurthy Mani
|
|[[फिबोनाची अनुक्रम]]
|-
|
|
|Sigma Notation
|
|
|[[सिग्मा संकेत]]
|-
|
|
|Arithmetic Mean
|
|
|[[समांतर माध्य]]
|-
|
|
|Geometric Mean
|
|
|[[गुणोत्तर माध्य]]
|-
|
|
|Common ratio
|
|
|[[सार्व अनुपात]]
|-
|
|
|
|
|
|
|-
|10
|Straight Lines
|Slope of a Line
|
|सरल रेखाएं
|[[रेखा की ढाल]]
|-
|
|
|Various Forms of the Equations of a Line
|
|
|[[रेखा के समीकरणों के विविध रूप]]
|-
|
|
|General Equations of a Line
|
|
|[[रेखा का व्यापक समीकरण]]
|-
|
|
|Distance of a Point from a Line
|
|
|[[एक बिंदु की रेखा से दूरी]]
|-
|
|
|Analytical Geometry
|
|
|[[वैश्लेषिक ज्यामिति]]
|-
|
|
|
|
|
|
|-
|11
|Conic Sections
|Sections of a Cone
|
|शंकु परिच्छेद
|[[शंकु के परिच्छेद]]
|-
|
|
|Circle
|
|
|[[वृत्त]]
|-
|
|
|Parabola
|
|
|[[परवलय]]
|-
|
|
|Ellipse
|
|
|[[दीर्घवृत्त]]
|-
|
|
|Hyperbola
|
|
|[[अतिपरवलय]]
|-
|
|
|Conic Sections
|
|
|[[शंकु परिच्छेद]]
|-
|
|
|Latus rectum
|
|
|[[नाभिलंब जीवा]]
|-
|
|
|Eccentricity
|
|
|[[उत्केन्द्रता]]
|-
|
|
|
|
|
|
|-
|12
|Introduction to Three Dimensional Geometry
|Coordinate Axes and Coordinate Planes in Three Dimensional Space
|Mani
|त्रिविमीय ज्यामिति का परिचय
|[[त्रिविमीय अंतरिक्ष में निर्देशांक्ष और निर्देशांक-तल]]
|-
|
|
|Coordinates of a Point in Space
|Mani
|
|[[अंतरिक्ष में एक बिन्दु के निर्देशांक]]
|-
|
|
|Distance between Two Points
|Mani
|
|[[दो बिंदुओं के बीच की दूरी]]
|-
|
|
|Section Formula
|Mani
|
|[[विभाजन सूत्र]]
|-
|
|
|
|
|
|
|-
|13
|Limits and Derivatives
|Intuitive Idea of Derivatives
|
|सीमा और अवकलज
|[[अवकलाजों का सहजानुभूत बोध]]
|-
|
|
|Limits
|
|
|[[सीमाएं]]
|-
|
|
|Limits of Trigonometric Functions
|
|
|[[त्रिकोणमितीय फलनों की सीमाएं]]
|-
|
|
|Derivatives
|
|
|[[अवकलज]]
|-
|
|
|Calculus
|
|
|[[कलन]]
|-
|
|
|
|
|
|
|-
|14
|Mathematical Reasoning
|Statements
|
|गणितीय विवेचन
|[[कथन]]
|-
|
|
|New statements from Old
|
|
|[[पूर्व ज्ञात कथनों से नए कथन बनाना]]
|-
|
|
|Special Words/Phrases
|
|
|[[विशेष शब्द/वाक्यांश]]
|-
|
|
|Implications
|
|
|[[अंतर्भाव]]
|-
|
|
|Validating Statements
|
|
|[[कथनों की वैधता को प्रमाणित(सत्यापित) करना]]
|-
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|15
|Statistics
|Measures of Dispersion
|
|सांख्यिकी
|[[प्रकीर्णन की माप]]
|-
|
|
|Range
|
|
|[[परिसर]]
|-
|
|
|Mean Deviation
|
|
|[[माध्य विचलन]]
|-
|
|
|Variance and Standard Deviation
|
|
|[[प्रसरण और मानक विचलन]]
|-
|
|
|Analysis of Frequency Distributions
|
|
|[[बारंबारता बंटनों का विश्लेषण]]
|-
|
|
|Continuous frequency distribution
|
|
|[[सतत बारंबारता बंटन]]
|-
|
|
|Statistics
|
|
|[[सांख्यिकी]]
|-
|
|
|Measure of Central Tendency
|
|
|[[केन्द्रीय प्रवृत्ति की माप]]
|-
|
|
|Mean
|
|
|[[माध्य]]
|-
|
|
|Mode
|
|
|[[बहुलक]]
|-
|
|
|Median
|
|
|[[माध्यिका]]
|-
|
|
|Quartile Deviation
|
|
|[[चतुर्थक विचलन]]
|-
|
|
|Coefficient of variation
|
|
|[[विचरण गुणांक]]
|-
|
|
|
|
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|-
|16
|Probability
|Random Experiments
|
|प्रायिकता
|[[यादृच्छिक परीक्षण]]
|-
|
|
|Event
|
|
|[[घटना(प्रायिकता)]]
|-
|
|
|Axiomatic Approach to Probability
|
|
|[[प्रायिकता की अभिगृहतीय दृष्टिकोण]]
|-
|
|
|Classical theory of probability
|
|
|[[प्रायिकता का पुरातन सिद्धांत]]
|-
|
|
|Statistical approach of probability
|
|
|[[प्रायिकता का सांख्यिकीय दृष्टिकोण]]
|-
|
|
|Outcome
|
|
|[[संभावित परिणाम]]
|-
|
|
|Sample space
|
|
|[[प्रतिदर्श समष्टि]]
|-
|
|
|Sample Points
|
|
|[[प्रतिदर्श बिंदुओं]]
|-
|
|
|Impossible Event
|
|
|[[असंभव घटना]]
|-
|
|
|Sure Event
|
|
|[[निश्चित घटना]]
|-
|
|
|Simple Event
|Ramamurthy
Mani
|
|[[सरल घटना]]
|-
|
|
|Compound Event
|Ramamurthy
Mani
|
|[[मिश्र घटना]]
|-
|
|
|Complementary Event
|
|
|[[पूरक घटना]]
|-
|
|
|Mutually exclusive events
|
|
|[[परस्पर अपवर्जी घटनाएँ]]
|-
|
|
|Exhaustive events
|
|
|[[निःशेष घटनाएँ]]
|-
|
|
|Probability of an event
|
|
|[[घटना की प्रायिकता]]
|-
|
|
|
|
|
|
|-
|17
|Infinite Series
|
|
|अनंत श्रेणी
|
|-
|
|Appendix-1
|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 Series
|
|
|[[अनंत श्रेणी]]
|-
|
|
|Infinite Sequence
|
|
|[[अनंत अनुक्रम]]
|-
|
|
|Binomial Series
|
|
|[[द्विपद श्रेणी]]
|-
|
|
|
|
|
|
|-
|
|Appendix-2
|Preliminaries
|
|
|[[प्रारंभिक प्रबंध]]
|-
|
|
|What is Mathematical Modelling
|
|
|[[गणितीय निदर्शन क्या है]]
|-
|
|
|Mathematical Modelling
|
|
|[[गणितीय निदर्शन]]
|-
|
|
|Interpretation of the model
|
|
|[[निदर्श का अर्थ निर्वचन]]
|-
|
|
|Validation of the model
|
|
|[[निदर्श का मान्यकरण]]
|-
|
|
|Solution of the model
|
|
|[[निदर्श का हल]]
|}
[[Category:Information]]

Taxonomy for Mathematics OLD Articles-11th Class - Revision history