Coordinate Geometry Question 96
Question: If P (1,2), Q(4,6) R(5, 7) and S(a, b) are the vertices of a parallelogram PQRS, then
[IIT 1998]
Options:
A) $ a=2,b=4 $
B) $ a=3,b=4 $
C) $ a=2,b=3 $
D) $ a=3,b=5 $
Show Answer
Answer:
Correct Answer: C
Solution:
Diagonals cut each other at middle points.
Hence $ \frac{a+4}{2}=\frac{1+5}{2}\Rightarrow a=2 $
$ \frac{b+6}{2}=\frac{2+7}{2}\Rightarrow b=3 $ .
BETA
