Coordinate Geometry

12/18/2011 CBSE


  • Distance between two points p(x1,y1) and Q(x2,y2) is given by  

  • The co-ordinates of the mid point of the line joining p(x1,y1) and
    Q(x2,y2) are

  • The area of a triangle whose vertices are A(x1y1) B(x2y2) and
    C(x3y3) is given by

    Three points A ( x1 y1), B (x2 y2) and C(x3 y3)
    are collinear if x1 ( y2 - y3) + x2
    (y3 - y1) + x3 ( y1 - y2 ) = 0

  • The co-ordinates of the point dividing the join of p(x1 y1) and
    Q(x2 y2) internally in the ration m : n

    This formula can also be derived by drawing perpendiculars from A, P
    and B on the y axis:

  • you can also use Heron’s formula to find the area of a triangle.

  • Equation of a line passing through the point A(x1y1) and B(x2y2)

    The slope of such line is given as (Y2-y1/X2-X1)

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