Introduction to Analytic Geometry

COURSE DESCRIPTION

• Coordinate system
• The distance formula
• Point dividing the line segment of given ratio
• Translation and rotation of axes
• Equations of straight lines
  • Slope or gradient of a straight line joining two points
  • Equation of straight line parallel to x-axis
  • Derivation of standard forms of equations of straight lines
  • A linear equation in two variables represent straight line
  • To transform the general linear equation to standard forms
  • Position of a point with respect to a line
• Two and three straight lines
  • The point of intersection of two straight lines
  • Condition of concurrency of three straight lines
  • The equation of lines through the point of intersection of two lines
  • Distance of a point from a line
  • Distance between two parallel lines
  • Area of triangular region whose vertices are given
• Angle between two lines
  • Equation of straight line in matrix form
• Homogeneous equation of second degree in two variables
  • Homogeneous equation
  • To find measure of the angle between the lines
• All examples, exercises and MCQ’s
• Conceptual overview of all the above topics
• Application and conceptual base quiz of students which consist of short questions, MCQS and Long questions.

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