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10th Maths - Syllabus
1. Real Numbers: 1.1 Introduction. 1.2 Euclid’s Division Lemma. 1.3 The Fundamental Theorem of Arithmetic. 1.4 Revisiting Irrational Number. 1.5 Revisiting Rational Numbers and Their Decimal Expansions.
2. Polynomials: 2.1 Introduction. 2.2 Geometrical Meaning of the Zeroes of a Polynomial. 2.3 Relationship between Zeroes and Coefficients of a Polynomial. 2.4 Division Algorithm for Polynomials.
3. Pair of Linear Equations in Two Variables: 3.1 Introduction. 3.2 Pair of Linear Equations in Two Variables. 3.3 Graphical Method of Solution of a Pair of Linear Equations. 3.4 Algebraic Methods of Solving a Pair of Linear Equations. 3.4.1 Substitution Method. 3.4.2 Elimination Method. 3.4.3 Cross-Multiplication Method. 3.5 Equations Reducible to a Pair of Linear Equations in Two Variables.
4. Quadratic Equations: 4.1 Introduction. 4.2 Quadratic Equations. 4.3 Solution of a Quadratic Equation by Factorisation. 4.4 Solution of a Quadratic Equation by Completing the Square. 4.5 Nature of Roots.
5. Arithmetic Progressions: 5.1 Introduction. 5.2 Arithmetic Progressions. 5.3 nth Term of an AP. 5.4 Sum of First n Terms of an AP..
6. Triangles: 6.1 Introduction. 6.2 Similar Figures. 6.3 Similarity of Triangles. 6.4 Criteria for Similarity of Triangles. 6.5 Areas of Similar Triangles. 6.6 Pythagoras Theorem.
7. Coordinate Geometry: 7.1 Introduction. 7.2 Distance Formula. 7.3 Section Formula. 7.4 Area of a Triangle.
8. Introduction to Trigonometry: 8.1 Introduction, 8.2 Trigonometric Ratios, 8.3 Trigonometric Ratios of Some Specific Angles, 8.4 Trigonometric Ratios of Complementary Angles, 8.5 Trigonometric Identities.
9. Some Applications of Trigonometry: 9.1 Introduction 9.2 Heights and Distances
10. Circles: 10.1 Introduction. 10.2 Tangent to a Circle. 10.3 Number of Tangents from a Point on a Circle.
11. Constructions: 11.1 Introduction. 11.2 Division of a Line Segment. 11.3 Construction of Tangents to a Circle.
12. Areas Related to Circles: 12.1 Introduction. 12.2 Perimeter and Area of a Circle — A Review. 12.3 Areas of Sector and Segment of a Circle.
12.4 Areas of Combinations of Plane Figures.
13. Surface Areas and Volumes: 13.1 Introduction. 13.2 Surface Area of a Combination of Solids. 13.3 Volume of a Combination of Solids. 13.4 Conversion of Solid from One Shape to Another. 13.5 Frustum of a Cone.
14. Statistics: 14.1 Introduction. 14.2 Mean of Grouped Data. 14.3 Mode of Grouped Data. 14.4 Median of Grouped Data. 14.5 Graphical Representation of Cumulative Frequency Distribution.
15. Probability: 15.1 Introduction. 15.2 Probability — A Theoretical Approach .
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