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Mathematics
If ((1+i/1-i))x=1 then
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Q. If $\left(\frac{1+i}{1-i}\right)^{x}=1$ then
KCET
KCET 2021
Complex Numbers and Quadratic Equations
A
$x=4 n+1 ; n \in N$
9%
B
$x=2 n+1 ; n \in N$
23%
C
$x=2 n ; n \in N$
26%
D
$x=4 n ; n \in N$
42%
Solution:
$\left(\frac{1+i}{1-i}\right)^{x}=1$
$\Rightarrow i^{x}=1$