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.