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1. NUMBER SYSTEMS
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1.1 Introduction
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1.2 Irrational Numbers
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1.3 Real Numbers and their Decimal Expansions
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1.4 Representing Real Numbers on the Number Line
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1.5 Operations on Real Numbers
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1.6 Laws of Exponents for Real Numbers
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1.7 Summary
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2. POLYNOMIALS
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2.1 Introduction
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2.2 Polynomials in One Variable
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2.3 Zeroes of a Polynomial
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2.4 Remainder Theorem
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2.5 Factorisation of Polynomials
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2.6 Algebraic Identities
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2.7 Summary
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3. COORDINATE GEOMETRY
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3.1 Introduction
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3.2 Cartesian System
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3.3 Plotting a Point in the Plane if its Coordinates are given
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3.4 Summary
4. LINEAR EQUATIONS IN TWO VARIABLES
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4.1 Introduction
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4.2 Linear Equations
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4.3 Solution of a Linear Equation
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4.4 Graph of a Linear Equation in Two Variables
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4.5 Equations of Lines Parallel to x-axis and y-axis
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4.6 Summary
5. INTRODUCTION TO EUCLID’S GEOMETRY
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5.1 Introduction
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5.2 Euclid’s Definitions, Axioms and Postulates
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5.3 Equivalent Versions of Euclid’s Fifth Postulate
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5.4 Summary
6. LINES AND ANGLES
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6.1 Introduction
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6.2 Basic Terms and Definitions
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6.3 Intersecting Lines and Non-intersecting Lines
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6.4 Pairs of Angles
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6.5 Parallel Lines and a Transversal
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6.6 Lines Parallel to the same Line
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6.7 Angle Sum Property of a Triangle-
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6.8 Summary
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7. TRIANGLES
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7.1 Introduction
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7.2 Congruence of Triangles
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7.3 Criteria for Congruence of Triangles
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7.4 Some Properties of a Triangle
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7.5 Some More Criteria for Congruence of Triangles
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7.6 Inequalities in a Triangle
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7.7 Summary
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8. QUADRILATERALS
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8.1 Introduction
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8.2 Angle Sum Property of a Quadrilateral
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8.3 Types of Quadrilaterals
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8.4 Properties of a Parallelogram
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8.5 Another Condition for a Quadrilateral to be a Parallelogram
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8.6 The Mid-point Theorem
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8.7 Summary
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9. AREAS OF PARALLELOGRAMS AND TRIANGLES
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9.1 Introduction
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9.2 Figures on the same Base and Between the same Parallels
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9.3 Parallelograms on the same Base and
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9.4 Triangles on the same Base and between
the same Parallels
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9.5 Summary
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10. CIRCLES
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10.1 Introduction
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10.2 Circles and its Related Terms: A Review
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10.3 Angle Subtended by a Chord at a Point
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10.4 Perpendicular from the Centre to a Chord
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10.5 Circle through Three Points
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10.6 Equal Chords and their Distances from the Centre
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10.7 Angle Subtended by an Arc of a Circle
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10.8 Cyclic Quadrilaterals
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10.9 Summary———————————————–
11. CONSTRUCTIONS
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11.1 Introduction——————————————-
11.2 Basic Constructions
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11.3 Some Constructions of Triangles
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11.4 Summary
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12. HERON’S FORMULA
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12.1 Introduction
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12.2 Area of a Triangle – by Heron’s Formula
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12.3 Application of Heron’s Formula in finding Areas of Quadrilaterals-
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12.4 Summary
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13. SURFACE AREAS AND VOLUMES
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13.1 Introduction
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13.2 Surface Area of a Cuboid and a Cube
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13.3 Surface Area of a Right Circular Cylinder
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13.4 Surface Area of a Right Circular Cone
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13.5 Surface Area of a Sphere
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13.6 Volume of a Cuboid
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13.7 Volume of a Cylinde
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13.8 Volume of a Right Circular Cone
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13.9 Volume of a Sphere
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13.10 Summary———————————————–
14. STATISTICS——————————————————————————————
14.1 Introduction
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14.2 Collection of Data
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14.3 Presentation of Data
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14.4 Ggraphical Representation of Data
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14.5 Measures of Central Tendency
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14.6 Summary
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15. PROBABILITY
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15.1 Introduction
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15.2 Probability – an Experimental Approach-
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15.3 Summary
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APPENDIX-1 PROOFS IN MATHEMATICS
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A1.1 Introduction
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A1.2 Mathematically Acceptable Statements
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A1.3 Deductive Reasoning
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A1.4 Theorems, Conjectures and Axioms
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A1.5 What is a Mathematical Proof?
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A1.6 Summary
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APPENDIX-2 INTRODUCTION TO MATHEMATICAL MODELLING
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A2.1 Introduction
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A2.2 Review of Word Problems
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A2.3 Some Mathematical Models
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A2.4 The Process of Modelling, its Advantages and Limitations
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A2.5 Summary
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