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UPSC NDA 2 2022 Mathematics Solved Paper

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Consider the following for the next three (03) items that follow:

Let

z=\;\frac{1+i \sin \theta}{1-i \sin \theta}

where

i=\sqrt{-1}

[NDA II 2022]

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Question : 18 of 120

Marks: +1, -0

What is angle

heta

z

is purely imaginary?

$rac{n\pi}{2}$
$rac{(2n+1)\pi}{2}$
$n\pi$
$2n\pi$
where $n$ is an integer

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