Notes, solutions of unit 09, General Mathematics 9, for Punjab Curriculum & Textbook Board (PCTB), Lahore.

  • Define coordinate geometry.
  • Derive distance formula to calculate distance between two points given in Cartesian plane.
  • Use distance formula to find distance between two given points.
  • Define collinear points. Distinguish between collinear and non-collinear points.
  • Use distance formula to show that given three (or more) points are collinear.
  • Use distance formula to show that the given three non-collinear points form
    • an equilateral triangle,
    • an isosceles triangle,
    • a right angled triangle,
    • a scalene triangle.
  • Use distance formula to show that given four non-collinear points form
    • a square,
    • a rectangle,
    • a parallelogram.
  • Recognize the formula to find the midpoint of the line joining two given points.
  • Apply distance and mid point formulae to solve/verify different standard results related to geometry.