Complex Numbers And Quadratic Equations question 68
Question: For any complex number $ z,\bar{z}=( \frac{1}{z} ) $ if and only if [RPET 1985]
Options:
A) $ z $ is a pure real number
B) $ |z|=1 $
C) $ z $ is a pure imaginary number
D) $ z=1 $
Show Answer
Answer:
Correct Answer: B
Solution:
Given that $ \overline{z}=\frac{1}{z}\Rightarrow z\overline{z}=1 $
Þ $ |z{{|}^{2}}=1\Rightarrow |z|=1 $
BETA
