If ( 1+i 1-i )^x=1, then (a) x=2n+1 (b) x=4n (c) x=2n (d) x=4n+1

Correct answer: (b) x=4n (1+i)/(1-i)=i, so i^x=1→ x=4n. JEE Main 2003 · Complex Numbers — verified solution by the Vidaara Team.

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[JEE Main 2003] If $\left(\dfrac{1+i}{1-i}\right)^x=1$, then

VAVidaara Admin Asked 1mo ago 1 views 1 answer

If $\left(\dfrac{1+i}{1-i}\right)^x=1$, then

(a) $x=2n+1$
(b) $x=4n$
(c) $x=2n$
(d) $x=4n+1$

VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 1mo ago ▲ 0

Correct answer: (b) $x=4n$

$\frac{1+i}{1-i}=i$, so $i^x=1\Rightarrow x=4n$.

JEE Main 2003 · Complex Numbers — verified solution by the Vidaara Team.

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