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Complex Numbers question

2023 · 8 Apr · Shift 2 · Q22

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PYQ Library
JEE Main
Mathematics
Complex Numbers
2023 · 8 Apr · Shift 2 · Q22

Complex Numbers question

2023 · 8 Apr · Shift 2 · Q22

JEE MainMathematicsComplex NumbersMCQ+4 / −1

Let

A=\left\{\theta \in(0,2 \pi): \frac{1+2 i \sin \theta}{1-i \sin \theta}\right.

is purely imaginary

\}

. Then the sum of the elements in

\mathrm{A}

is :

A
$3 \pi$
B
$\pi$
C
$2 \pi$
D
$4 \pi$

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