JEE PYQ

[JEE Main 2008] the conjugate of a complex number is 1 i 1 that complex number is

VAVidaara Admin Asked 2d ago 0 views 1 answer

The conjugate of a complex number is $\dfrac1{i-1}$. That complex number is

(a) $-\dfrac1{i-1}$
(b) $\dfrac1{i+1}$
(c) $-\dfrac1{i+1}$
(d) $\dfrac1{i-1}$

1 Answer

VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 2d ago ▲ 0

Correct answer: (c) $-\dfrac1{i+1}$

The number is the conjugate of $\frac1{i-1}$: $\overline{\frac1{i-1}}=\frac1{\,\overline{i-1}\,}=\frac1{-i-1}=-\frac1{i+1}$.

JEE Main 2008 · Complex Numbers — verified solution by the Vidaara Team.

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