mathematics

This subject covers units such as trigonometry, geometry, algebra, arithmetic and, statistics and probability

Arithmetic

Algebra covers chapters such as Quadratic Equations, Polynomials, Arithmetic Progressions and, Pair of Linear Equations in Two Variables

Algebra

Trigonometry covers chapters such as Introduction to Trigonometry and Some Applications of Trigonometry

Trigonometry

Geometry covers chapters such as Circles, Triangles, Coordinate Geometry, Surface Areas and Volumes and, Areas Related to Circles

Geometry

Statistics and Probability covers chapters such as Probability and Statistics

Statistics and Probability

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THINK ABOVE AND BEYOND  MATHEMATICS PRACTICE BOOKS

CBSE Syllabus Standard Mathematics for Class X

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS

Secondary School Mathematics for Class 10

MATHEMATICS CLASS X

Modern's abc+ of Mathematics for Class 10

DINESH LAB MANUAL IN MATHEMATICS CLASS X

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NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS

MATHEMATICS Textbook for Class X

Formation of Quadratic Equation

Solution of Quadratic Equation: Perfect Square Method

Trigonometric Ratios for the Angle of 30 Degrees

Mean of Grouped Data: Example

Illustration on Trigonometric Ratio for Given Ratio

Roots of Quadratic Equation: Illustration

Tangents From an Exterior Point: Illustration

Tangent at a Point on Circle: Theorem

Tangent and Chord for Concentric Circles

Tangent as Perpendicular to Radius: Illustration

Tangent as Perpendicular to the Radius

Trigonometric Identities

Nature of the Roots: Illustration 1

Solution of Quadratic Equation: (a – b)^2 Type

Solution of Quadratic Equation: (a + b)^2 Type

Perfect Square Method to Solve Quadratic Equation

Factorisation Method: Example

Factorization Method

Factorisation Method

Factorisation of Perfect Square Trinomial

Geometrical Meaning of the Zeroes of a Polynomial

Zeros of a Polynomial

Polynomial: Terms, Coefficient and Degree

Non-terminating Non-recurring Decimals

Introduction to Polynomials

Monomials, Binomials and Trinomials

HCF and LCM

Finding HCF Using Prime Factorisation Method

Sample Space

Centroid - Meaning

Section Formula

Derivation of Distance Formula 2D

Sum of First n Terms of an Arithmetic Progression

Finding the nth Term of A.P. With Given Two Terms

Arithmetic Progression: Illustrations

Arithmetic Progression

Equation Reducible to Quadratic Equation

Discriminant and Nature of Roots

Solution of Quadratic Equation

Theorems of Probability

Random Experiment & Theoretical Probability

Probability of Equally Likely Events

Introduction to Probability

Relationship Between Mean, Median and Mode

Median of Grouped Data: Illustration

Short-cut Method to Find Mean of Grouped Data

Illustration for Finding Mean by Direct Method

Direct Method for Finding Mean

Conversion of Cumulative into Ordinary Frequency

Cumulative Frequency Table by Less Than Method

Volume of Combination of Cylinder, Cone and Hemisphere

Volume of Ice Cream Cone

Volume of Combination of a Cylinder and Hemisphere

Volume of Combination of Hemisphere & Cone

Surface Area of Combination of Cone and Hemisphere

Surface Area of Combination of Cylinder and Cone

Surface Area of a Combination of Cylinder & Sphere

Surface Area of Combination of Solids

Volume of Solids

Area of Minor and Major Segments

Problem on Area of Minor Segment

Problem on Area of Path Around a Circular Region

Areas of a Sector and a Segment of a Circle

Concept of Arc, Area and Perimeter of Sector

Tangent to a Circle

Application of Trigonometry (Height of Tower)

Application of Trigonometry (Height of Windmill)

Illustration on Finding Height by Depression Angle

Illustration Based on Finding Height of Balloon

Illustration on Finding the Width of a River

Illustration Based on Finding Height of Tower

Illustration Based on Finding Angle of Elevation

Illustration Based on Angle and Height of Object

Introduction to Height & Distance

Trigonometric Ratios for the Angle of 60°

Trigonometric Ratios for the Angle of 45°

Trigonometric Ratio Sine for the Angle of 30°

Trigonometric Ratios: Illustration 2

Inter Relation Between the Trigonometric Ratio

Defining Sine and Cosine Ratios and Their Range

Visualising Trigonometric Ratios for Same Angle

Visualising Trigonometric Ratios

Introduction to Trigonometry

Coordinates of the Incentre

Midpoint - Definition

Division of a Line Segment

Distance Between Two Points: Some Illustrations

Application of Distance Formula in 2-D

Corollary of Similarity in Right Triangles

Application of AA Criterion for Similarity

Similarity in Right Triangles

SSS Criterion for Similarity of Triangles

SAS Criterion for Similarity of Triangles

AA Criterion for Similarity of Two Triangles

Criteria for Similarity of Two Triangles

Illustration on Similarity of Triangles

Similarity of Triangles

Concept of Similarity

Congruency and Similarity of Triangles

Similar Figures

This chapter covers topics, such as, Euclid's Division Lemma, HCF and LCM, Irrational Numbers, Rational Numbers and Their Decimal Expansions & The Fundamental Theorem of Arithmetic etc.

Real Numbers

This chapter covers topics, such as, Heights and Distances etc.

Some Applications of Trigonometry

This chapter covers topics, such as, Trigonometric Ratios, Trigonometric Identities, Trigonometric Ratios of Some Specific Angles & Trigonometric Ratios of Complementary Angles etc.

This chapter covers topics, such as, Areas of Similar Triangles, Similar Figures, Criteria for Similarity of Triangles, Similarity of Triangles, Pythagoras Theorem & Angle Bisector Theorem etc.

Triangles

This chapter covers topics, such as, Area of a Triangle Formula, Distance Formula, Section Formula & Quadrilaterals etc.

Coordinate Geometry

This chapter covers topics, such as, Intersection between Circle and Line, Tangent to a Circle & Number of Tangents from a Point on a Circle etc.

Circles

This chapter covers topics, such as, Perimeter and Area of a Circle, Areas of Combinations of Plane Figures & Areas of Sector and Segment of a Circle etc.

Areas Related to Circles

This chapter covers topics, such as, Nature of Roots, Introduction to Quadratic Equations & Solution of a Quadratic Equation etc.

Quadratic Equations

This chapter covers topics, such as, Relationship between Zeros and Coefficients of a Polynomial, Division Algorithm for Polynomials, Geometrical Meaning of the Zeros of a Polynomial & Basics of Polynomials etc.

Polynomials

This chapter covers topics, such as, Introduction to Pair of Linear Equations in Two Variables, Algebraic Methods of Solving a Pair of Linear Equations & Graphical Method of Solution of a Pair of Linear Equations etc.

Pair of Linear Equations in Two Variables

This chapter covers topics, such as, nth Term of an AP, Number Patterns, Introduction to Arithmetic Progressions & Sum of First n Terms of an AP etc.

Arithmetic Progressions

This chapter covers topics, such as, Conversion of Solid from One Shape to Another, Surface Area of a Combination of Solids, Frustum of a Cone, Volume of a Combination of Solids, Solid Shapes & Frustum of a Pyramid etc.

Surface Areas and Volumes

This chapter covers topics, such as, Median of Grouped Data, Mode of Grouped Data, Mean of Grouped Data, Frequency Distribution Table & Graphical Representation of Cumulative Frequency Distribution etc.

Statistics

This chapter covers topics, such as, Probability - A Theoretical Approach etc.

Probability

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