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Mathematics Class X
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Real Numbers
2
Introduction
3
Euclid’s Division Lemma
2
The Fundamental Theorem of Arithmetic
1
Revisiting Irrational Numbers
Revisiting Rational Numbers and Their Decimal Expansions
2
Summary
Polynomials
3
Introduction
Geometrical Meaning of the Zeroes of a Polynomial
1
Relationship between Zeroes and Coefficients of a Polynomial
Division Algorithm for Polynomials
Summary
Pair of Linear Equations in Two Variables
1
Introduction
Pair of Linear Equations in Two Variables
Graphical Method of Solution of a Pair of Linear Equations
Algebraic Methods of Solving a Pair of Linear Equations
1
Substitution Method
Elimination Method
Cross-Multiplication Method
1
Equations Reducible to a Pair of Linear Equations in Two Variables
1
Summary
Quadratic Equations
Introduction
Quadratic Equations
1
Solution of a Quadratic Equation by Factorisation
Solution of a Quadratic Equation by Completing the Square
Nature of Roots
Summary
Arithmetic Progressions
Introduction
Arithmetic Progressions
nth Term of an AP
Sum of First n Terms of an AP
Summary
Triangles
Introduction
Similar Figures
Similarity of Triangles
1
Criteria for Similarity of Triangles
Areas of Similar Triangles
Pythagoras Theorem
Summary
Coordinate Geometry
1
Introduction
1
Distance Formula
Section Formula
Area of a Triangle
Summary
Introduction to Trigonometry
1
Introduction
Trigonometric Ratios
1
Trigonometric Ratios of Some Specific Angles
Trigonometric Ratios of Complementary Angles
Trigonometric Identities
2
Summary
Some Applications of Trigonometry
Introduction
1
Heights and Distances
1
Summary
Circles
Introduction
1
Tangent to a Circle
Number of Tangents from a Point on a Circle
Summary
Constructions
Introduction
Division of a Line Segment
Construction of Tangents to a Circle
Summary
Areas Related to Circles
Introduction
Perimeter and Area of a Circle - A Review
Areas of Sector and Segment of a Circle
Areas of Combinations of Plane Figures
Summary
Surface Areas and Volumes
Introduction
Surface Area of a Combination of Solids
Volume of a Combination of Solids
Conversion of Solid from One Shape to Another
1
Frustum of a Cone
Summary
Statistics
Introduction
Mean of Grouped Data
Mode of Grouped Data
Median of Grouped Data
Graphical Representation of Cumulative Frequency Distribution
Summary
Probability
Introduction
Probability - A Theoretical Approach
Summary
Appendix A1 : Proofs in Mathematics
Introduction
Mathematical Statements Revisited
Deductive Reasoning
Conjectures, Theorems, Proofs and Mathematical Reasoning
Negation of a Statement
Converse of a Statement
Proof by Contradiction
Summary
Appendix A2 : Mathematical Modelling
Introduction
Stages in Mathematical Modelling
Some Illustrations
Why is Mathematical Modelling Important?
Summary
10th
Mathematics
NCERT
Text Book
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FULL NCERT BOOK - ZIP
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