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JEE Previous Year Question

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

Topic: JEE PYQ

Answer: C. Full step-by-step solution below.

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

Correct answer: C

Solution

(c) Let z = \frac{1}{i - 1} z = (\frac{1}{i - 1}) = \frac{1}{- i - 1} = - \frac{1}{i + 1}

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