Math 12
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4.1 Introduction
4.1 Introduction
4.1.1 The Distance Formula
4.1.2 Point Dividing the Join of Two Points in a given Ratio
Exercise 4.1
4.2 Translation and Rotation of Axes
Exercise 4.2
4.3 Equation of Straight lines
4.3 Equation of Straight lines
4.3.1 Slope or Gradient of a Straight Line Joining Two Points
4.3.2 Equation of a Straight Line Parallel to the x-axis (or perpendicular to the y-axis)
4.3.4 Derivation of Standard Forms of Equations of Straight Lines
4.3.5 A Linear Equation in two Variables Represents a Straight Line
4.3.6 To Transform the General Linear Equation to Standard Forms
4.3.7 Position of a point with respect to a line
4.4 Two and Three Straight Lines
4.4 Two and Three Straight Lines
4.4.1 The Point of Intersection of two Straight Lines
4.4.2 Condition of Concurrency of Three Straight Lines
4.4.3 Equation of Lines through the point of intersection of two lines
4.4.4 Distance of a point from a line
4.4.5 Distance Between two Parallel Lines
4.4.6 Area of a Triangular Region Whose Vertices are Given
Exercise 4.3
4.5 Angle between Two Lines
4.5 Angle between Two Lines
4.5.1 Equation of a Straight Line in Matrix form
Exercise 4.4
4.6 Homogeneous Equation of the Second Degree in two variables
4.6 Homogeneous Equation of the Second Degree in two variables
4.6.1 Homogeneous Equation
4.6.2 To find measure of the angle between the lines represented by
Exercise 4.5
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