Prove that the quadrilateral whose vertices are `A (-2, 5), B (4, -1), C (9, 1) and D(3, 7)`
Channel: Doubtnut
Date: 2020-04-05

Prove that the quadrilateral whose vertices are `A (-2, 5), B (4, -1), C (9, 1) and D(3, 7)` is a parallelogram and find its area. If E divides AC in the ration `2:1`, prove that D, E and the middle point F of BC are collinear.