Coordinate Geometry Question 32

Question: The points A(-4,­-1), B (-2,-4), C(4,0) and D(2,3) are the vertices of

[Roorkee 1973]

Options:

A) Parallelogram

B) Rectangle

C) Rhombus

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

Mid-points of diagonals are same. Also $ S _{AB}=\frac{-4+1}{-2+4}=\frac{-3}{2},S _{AD}=\frac{3+1}{2+4}=\frac{2}{3} $

$ S _{AB}.S _{AD}=-1. $

Hence it is a rectangle.