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Complex Numbers question

2024 · 8 Apr · Shift 2 · Q45

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JEE Main
Mathematics
Complex Numbers
2024 · 8 Apr · Shift 2 · Q45

Complex Numbers question

2024 · 8 Apr · Shift 2 · Q45

JEE MainMathematicsComplex NumbersMCQ+4 / −1

The sum of all possible values of

\theta \in[-\pi, 2 \pi]

, for which

\frac{1+i \cos \theta}{1-2 i \cos \theta}

is purely imaginary, is equal to :

A
$4 \pi$
B
$3 \pi$
C
$2 \pi$
D
$5 \pi$

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