The conjugate of a complex number is 1 i - 1 then that complex nu… - Vidyadip

MCQ

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

A
$ - \frac{1}{{i - 1}}$
B
$\;\frac{1}{{i + 1}}$
✓
$\; - \frac{1}{{i + 1}}$
D
$\;\frac{1}{{i - 1}}$

✓

Answer

Correct option: C.

$\; - \frac{1}{{i + 1}}$

c
If $z=x+i y$ then $\bar{z}=x-i y$

$\bar{z}=\frac{1}{i-1}=\frac{1}{-1+i}$

$\therefore z=\frac{1}{-1-i}=\frac{-1}{i+1}$

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