Complex Numbers And Quadratic Equations question 310
Question: The points $ z_1,z_2,z_3,z_4 $ in the complex plane are the vertices of a parallelogram taken in order, if and only if [IIT 1981, 1983; UPSEAT 2004]
Options:
A) $ z_1+z_4=z_2+z_3 $
B) $ z_1+z_3=z_2+z_4 $
C) $ z_1+z_2=z_3+z_4 $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
Diagonals of a parallelogram $ ABCD $ are bisected each other at a point i.e. $ \frac{z_1+z_3}{2}=\frac{z_2+z_4}{2} $ Þ $ z_1+z_3=z_2+z_4 $
BETA
