The vertices of a triangle are

MATHEMATICS · Subjective · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

A(-1,2)

B(3,6)

and

C(5,-2)

. (i) Find the coordinates of the midpoint

M

of the side

BC

. (ii) Determine the equation of the median

AM

in slope–intercept form. (iii) Verify that the median obtained in part (ii) divides the triangle into two regions of equal area.