Question

The conjugate of a complex number is $\frac{1}{i-1}$ then complex number is

• A. $\frac{1}{i+1}$
• B. $\frac{1}{i-1}$
• C. $\frac{-1}{i+1}$
• D. $\frac{-1}{i-1}$

Answer 1

The correct option is C $\frac{-1}{i+1}$

$z=\frac{1}{i-1}$
$\overline{z}=\frac{\overline{1}}{\overline{i-1}}$

$\overline{z}=\frac{1}{-i-1}$

Hence, option C is correct