Page 1 :
Contents, Foreword, , Preface, 1., , 2., , ., , Real Numbers, , 1.1, , Introduction, , 1.2, , Euclid's Division Lemma, , 1.3, , The Fundamental Theorem, , 1.4, , Revisiting Irrational Numbers, , 1.5, , Revisiting Rational, , 1.6, , Summary, , of Arithmetic, 11, , Numbers and Their Decimal, , Expansions, , 15, 18, , Polynomials, , 20, , 2.1, , Introduction, , 2.2, , Geometrical, , 2.3, , Relationship between Zeroes and Coefficients of a Polynomial, , 28, , 2.4, , Division Algorithm for Polynomials, , 33, , 2.5, , Summary, , 37, , 20, , Meaning of the, , Zeroes of a, , Polynomial, , 21, , Pair of Linear Equations in Two Variables, , 38, , 3.1, , Introduction, , 38, , 3.2, , Pair of Linear Equations in Two Variables, , 39, , 3.3, , Graphical Method of Solution of a Pair of Linear Equations, Algebraic Methods of Solving a Pair of Linear Equations, , 44, 50, , 3.4.1 Substitution Method, , 50, , 3.4.2 Elimination Method, 3.4.3 Cross-Multiplication Method, , 54, 57, , 3.5, , Equations Reducible to a Pair of Linear Equations in Two Variables, , 63, , 3.6, , Summary, , 69, , 3.4, , Quadratic Equations, , 70, , 4.1, , Introduction, , 70, , 4.2, , Quadratic Equations, , 71, , 2021-22
Page 2 :
5., , 6., , 4.3, , Solution of a Quadratic Equation by Factorisation, , 14, , 4.4, , Solution of a Quadratic Equation by Completing the Square, , 16, , 4.5, , Nature of Roots, , 88, , 4.6, , Summary, , 91, , Arithmetic Progressions, , 93, , 5.1, , Introduction, , 93, , 5.2, , Arithmetic Progressions, , 95, , 5.3, , nth Term of an AP, , 100, , 5.4, , Sum of First n Terms of an AP, , 107, , 5.5, , Summary, , 116, , Triangles, , 117, , 6.1, , Introduction, , 117, , 6.2, , Similar Figures, , 118, , 6.3, , Similarity of Triangles, Criteria for Similarity of Triangles, , 123, , 6.4, , 7., , 8., , 129, , 6.5, , Areas of Similar Triangles, , 141, , 6.6, , Pythagoras Theorem, , 144, , 6.7, , Summary, , 154, , Coordinate Geometry, , 155, , 7.1, , Introduction, , 155, , 7.2, , Distance Formula, , 156, , 7.3, , Section Formula, , 162, , 7.4, , Area of a Triangle, , 168, , 7.5, , Summary, , 172, , Introduction to Trigonometry, , 173, , 8.1, , Introduction, , 173, , 8.2, , Trigonometric Ratios, , 174, , 8.3, , 181, , 8.4, , Trigonometric Ratios of Some Specific Angles, Trigonometric Ratios of Complementary Angles, , 187, , 8.5, , Trigonometric Identities, , 190, , 8.6, , Summary, , 194, , 2021-22, , 10/12
Page 3 :
9., , Some Applications of Trigonometry, , 195, , 9.1, , Introduction, , 195, , 9.2, , Heights and Distances, , 196, , 9.3, , Summary, , 205, , 10. Circles, , 206, , 10.1 Introduction, , 206, , 10.2 Tangent to a Circle, , 207, , 10.3 Number of Tangents from a Point on a Circle, , 209, , 10.4 Summary, , 215, , 11. Constructions, , 216, 216, , 11.1 Introduction, 11.2 Division of, , a, , Line, , 216, , Segment, , 11.3 Construction of Tangents to a Circle, , 220, , 114 Summary, , 222, , 12. Areas Related to Circles, , 223, , 12.1 Introduction, , 223, , 12.2 Perimeter and Area of a Circle- A Review, , 224, 226, 231, 238, , 12.3 Areas of Sector and Segment of a Circle, 12.4 Areas of Combinations of Plane, , Figures, , 12.5 Summary, 13. Surface Areas and Volumes, , 239, , 13.1 Introduction, 13.2 Surface Area of a Combination of Solids, , 239, 240, , 13.3 Volume of a Combination of Solids, , 245, , 13.4 Conversion of Solid from One Shape to Another, , 248, , 13.5 Frustum of a Cone, , 252, , 13.6 Summary, , 258, , 14. Statistics, , 260, , 14.1 Introduction, , 260, , 14.2 Mean of Grouped Data, , 260, , 14.3 Mode of Grouped Data, , 272, , 2021-22, , 11/12
Page 4 :
X, , 14.4 Median of Grouped Data, , 277, , 14.5 Graphical Representation of Cumulative Frequency Distribution, , 289, , 14.6 Summary, , 293, , 15. Probability, , 295, , 15.1 Introduction, 15.2, , 295, , Probability-A Theoretical Approach, , 15.3 Summary, , 296, , 312, , Appendix Al: Proofs in, , Mathematics, , 313, , A1.1 Introduction, , 313, , A1.2 Mathematical Statements Revisited, , 313, , A1.3 Deductive Reasoning, , 316, , Al.4, , 318, , Conjectures, Theorems, Proofs and Mathematical Reasoning, , Al.5 Negation of a Statement, A1.6 Converse of a Statement, , A1.7 Proof by Contradiction, Al.8 Summary, , LI, , 323, 326, 329, 333, , Appendix A2: Mathematical Modelling, , 334, , A2.1 Introduction, , 334, , A2.2 Stages in Mathematical Modelling, , 335, , A2.3 Some Illustrations, , 339, , A2.4 Why is Mathematical Modelling Important?, , 343, , A2.5 Summary, , 344, , Answers/Hints, , 345, , O, , 2021-22, 12(1?
