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Class 10 - Mathematics

Complete NCERT syllabus — all chapters, topics, formulas and experiments. Click any chapter to start learning with AI support.

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Syllabus Coverage14/14 chapters with full content

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Real Numbers

Class 10 NCERT chapter on Euclid’s division lemma, prime factorisation, irrational numbers and decimal expansions.

Introduction The Fundamental Theorem of Arithmetic Revisiting Irrational Numbers Decimal Expansions of Rational Numbers Summary

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Polynomials

Study of zeroes of polynomials and the relationship between zeroes and coefficients in linear, quadratic and cubic forms.

Introduction Geometrical Meaning of the Zeroes of a Polynomial Relationship between Zeroes and Coefficients of a Polynomial Division Algorithm for Polynomials Summary

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Pair of Linear Equations in Two Variables

Methods of solving two linear equations using graphical and algebraic approaches.

Introduction Graphical Method of Solution Algebraic Methods of Solving a Pair of Linear Equations Substitution Method Elimination Method Consistency of the Pair Summary

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Quadratic Equations

Standard form, factorisation, roots and the discriminant of quadratic equations.

Introduction Quadratic Equations Solution by Factorisation Quadratic Formula Nature of Roots Summary

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Arithmetic Progressions

Sequences with common difference, nth term and sum formulas.

Introduction Arithmetic Progressions nth Term of an AP Sum of First n Terms of an AP Summary

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Triangles

Similarity of triangles, criteria and proportional relationships.

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Coordinate Geometry

Distance and section ideas on the Cartesian plane.

Introduction Distance Formula Section Formula Midpoint Interpretation Summary

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Introduction to Trigonometry

Trigonometric ratios, identities and standard-angle values in right triangles.

Introduction Trigonometric Ratios Trigonometric Ratios of Some Specific Angles Trigonometric Identities Summary

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Some Applications of Trigonometry

Use of trigonometric ratios in measuring heights and distances.

Heights and Distances Modelling Right Triangles in Real Situations Choosing the Right Ratio Summary

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Circles

Tangent properties and tangent lengths from external points.

Introduction Tangent to a Circle Number of Tangents from a Point on a Circle Equal Tangent Segments Summary

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Areas Related to Circles

Sector and segment area calculations based on the whole circle.

Areas of Sector and Segment of a Circle Circumference and Area Revision Sector-Based Problem Solving Summary

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Surface Areas and Volumes

Combination of solids and volume-surface area reasoning.

Introduction Surface Area of a Combination of Solids Volume of a Combination of Solids Summary

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Statistics

Mean, mode and median of grouped data with cumulative frequency ideas.

Introduction Mean of Grouped Data Mode of Grouped Data Median of Grouped Data Summary

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Probability

Theoretical probability using equally likely outcomes.

Probability — A Theoretical Approach Sample Space and Event Complementary Events Summary

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