[JEE Advanced 1980] the smallest positive integer n for which 1 i 1 i n 1 is
The smallest positive integer $n$ for which $\left(\dfrac{1+i}{1-i}\right)^n=1$ is
(a) $8$
(b) $16$
(c) $12$
(d) none of these
1 Answer
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· 2d ago
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Correct answer: (d) none of these
$\frac{1+i}{1-i}=i$, and $i^n=1\Rightarrow n=4$ — not among the listed values, so 'none of these'.
JEE Advanced 1980 · Complex Numbers — verified solution by the Vidaara Team.
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