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

The conjugate of a complex number is $\frac{1}{i-1}$. Then the complex number is
  1. $\frac{-1}{i-1}$
  2. $\frac{1}{i+1}$
  3. $\frac{-1}{i+1}$
  4. $\frac{1}{i-1}$

Solution

Put $-i$ in place of $i$ Hence $\frac{-1}{i+1}$.

Asked in: JEE Main 2008

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