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Chapter 1 - Number Systems
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Representation of Integers on Number Line, Representation of Rational Numbers on Real Line, Finding Rational Numbers between two given Rational Numbers, Decimal Representation of Rational Numbers, Irrational Numbers, Properties of Rational Numbers, Real Numbers, Addition Properties of Real Numbers, Multiplication Properties of Real Numbers, Representing Irrational Numbers on the Number Line, Representing Real Numbers on the Number Line, Rationalization, Law of Exponents
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Chapter 2 - Polynomials
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Algebraic Expressions, Terms of an Algebraic Expression, Polynomials in one variable, Polynomials of Various degrees, Number of Terms in a Polynomial, Value of a Polynomial, Zeros of a Polynomial, Division Algorithm in Polynomials, Remainder Theorem, Factor Theorem
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Chapter 3 - Factorisation of Polynomials
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Grouping, Common factoring, Difference of squares, Perfect squares, Factoring by sum or difference of cubes, Trial and error
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Chapter 4 - Linear Equations in Two Variables
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Linear Equations in Two Variables, Solution of a linear equation, Graph of linear equation in two variables
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Chapter 5 - Coordinate Geometry
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Cartesian Coordinates, Coordinate Geometry, Coordinate System, Coordinates of a point in a plane, Points on Coordinate Axes
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Chapter 6 - Introduction to Euclid’s Geometry
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History, Axioms and Postulates, Euclid’s Axioms, Euclid’s five postulates, Incidence Axioms on Lines, Number of Lines passing through two given points
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Chapter 7 - Lines and Angles
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Basic Terms and Definitions, Various types of Angles, Some Angle Relations, Results on Parallel Lines, Corresponding Angles Axiom
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Chapter 8 - Triangles
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Triangles, Types of Triangles on the basis of sides, Types of Triangles on the basis of angles, Some terms related to Triangle, Exterior and interior opposite angles of a Triangle, Some results on Triangles
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Chapter 9 - Congruence of Triangles and Inequalities in a Triangle
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Congruent Figures, Congruent Triangles, Congruence Relation in the set of all Triangles, Inequalities in a Triangle
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Chapter 10 - Quadrilaterals
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Various types of quadrilaterals, Results on Parallelograms, Converse of the above theorems, Some results on rectangle, rhombus, and square, Midpoint Theorem
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Chapter 11 - Areas of Parallelograms and Triangles
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Euclidean Area Axioms, Figures on the same base and between the same parallels, Parallelograms on the same base and between the same parallels, Base and altitude of a parallelogram
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Chapter 12 - Circles
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All the terms related to a circle, Position of a point with respect to a circle, Degree measure of an arc, Minor and major arcs of a circle, Congruence of circles, Chord properties of circles, Results on angles subtended by arcs
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Chapter 13 - Geometrical Constructions
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Perpendicular bisector of a line segment, To draw the perpendicular bisector of a given line segment, Bisector of a given angle, Construction of angles using ruler and compasses
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Chapter 14 - Areas of Triangles and Quadrilaterals
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Introduction, Area of Triangles, Areas of Quadrilaterals, Area of a quadrilateral whose one diagonal and lengths of perpendiculars from opposite vertices to the diagonal are given
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Chapter 15 - Volume and Surface Area of Solids
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Volume and Surface Area of a Cuboid, Volume and Surface Area of a Cube, Cylinders, Right Circular Cone, Sphere, Spherical Shell, Hemisphere
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Chapter 16 - Presentation of Data in Tabular Form
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Introduction, Fundamental Characteristics of Data, Limitations of Statistics, Types of Data, Frequency distribution of an ungrouped data, Types of Frequency Distribution, Some definitions, Class boundaries or true upper and lower limits, Method of forming classes of a data
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Chapter 17 - Bar Graph, Histogram, and Frequency Polygon
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Bar Graph, Bar Graph or Column Graph, Reading a Bar Diagram, Histogram and Frequency Polygon, Frequency Polygon
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Chapter 18 - Mean, Median, and Mode of Ungrouped Data
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Arithmetic Mean, Properties of Arithmetic Mean, Mean for an ungrouped frequency distribution, Median of ungrouped data, Mode of ungrouped data
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Chapter 19 - Probability
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Introduction, History, Some terms related to probability, Some operations and their outcomes
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