Coordinate Geometry Question 74
Question: Three vertices of a parallelogram taken in order are $ (-1,-6) $ , $ (2,-5) $ and $ (7,2) $ . The fourth vertex is
[Kerala (Engg.) 2002]
Options:
A) (1, 4)
B) (4, 1)
C) (1, 1)
D) (4, 4)
Show Answer
Answer:
Correct Answer: B
Solution:
$ \frac{-1+7}{2}=\frac{2+x}{2} $
$ \Rightarrow x=4 $
$ \frac{-6+2}{2}=\frac{-5+y}{2} $
$ \Rightarrow y=1 $
$ \therefore $ Fourth vertex (x, y) is (4, 1).
BETA
