CONTENT
————————————-Chapters Subjects
Chapter-1 Set
1.1 Cardinality of a set
1.2 Cartesion Product of Sets
1.3 Relations in sets
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Chapter-2 Complex Number
2.1 Introduction to imaginary numbers and complex number
2.2 Complex number as an ordered pair of real numbers
2.3 Operations of complex numbers
2.4 Properties of complex number
2.5 Conjugate complex number
2.6 Diagrammatic representation of complex number in a plane
2.7 Modulus of complex number and its properties
2.8 Representation of a complex number in (r,Ө) form
2.9 Solution of quadratic equation in complex number set
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Chapter-3 Arithmetic of Integers
3.1 N, the set of natural numbers
3.2 Two important properties of N
3.3 Division Algorithm
3.4 Divisibilty of Integers
3.5 Prime numbers and their properties
3.6 Congruence of integers modulo a fixed integer
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Chapter-4 Quadratic Equation
4.1 Introduction
4.2 Formation of quadratic equation from roots
4.3 Equations Reducible To Quadratic Equation
4.4 Application problems involving quadratic equation
4.5 Solution of simultaneous equations in two variables-one linear and other quadratic
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Chapter-5 Application of Common Logarithm
5.1 Introduction
5.2 Revision
5.3 Computation with Logarithm
5.4 Characteristic and Mantissa of logarithm
5.5 Antilogarithm
5.6 Application of Common Logarithm
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Chapter-6 Permutation and Combination
6.1 Introduction
6.2 Factorial Notation
6.3 Fundamental Principle of Counting
6.4 Permutation
6.5 Combination
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Chapter-7 Trigonometry
7.0 Introduction
7.1 Trigonometrical Ratios of any angle
7.2 Sign Convention of Trigonometrical Ratios
7.3 Associated Angles and their Trigonometrical Ratios
7.4 Way to memorise trigonometrical ratios of associated angles
7.5 Illustrative Examples
7.6 Trigonometrical Ratios of Compound Angles
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Chapter-8 Plane Geometry
8.0 Introduction
8.1 Angle made by a tangent to a circle with a chord through the point of contact and the angle in the all alternate segment
8.2 Bisector of an angle of a triangle and ratio of segments on the opposite side
8.3 Theorems on area of rectangles related to circles
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Chapter-9 Coordinate Geometry
9.1 Concept of gradient
9.2 Straight line
9.3 Every first degree equation in x and y represents a straight line
9.4 Equation of a line parallel to any axis
9.5 Various forms of equations of straight lines
9.6 Transformation of the general form of equation of a line into different standard forms
9.7 Illustrative Examples
9.8 Angle between two straight lines Send a message
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