Coordinate Geometry Question 66
Question: If the point (x, - 1), (3, y), (- 2, 3) and (- 3, - 2) be the vertices of a parallelogram, then
Options:
A) $ x=2,y=4 $
B) $ x=1,y=2 $
C) $ x=4,y=2 $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
Mid-points of the diagonals must be same.
$ \Rightarrow \frac{x-2}{2}=\frac{-3+3}{2}\Rightarrow x=2 $ and $ \frac{-1+3}{2}=\frac{-2+y}{2}\Rightarrow y=4 $ .