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Complex Numbers question

2019 · 9 Jan · Shift 1 · Q31

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PYQ Library
JEE Main
Mathematics
Complex Numbers
2019 · 9 Jan · Shift 1 · Q31

Complex Numbers question

2019 · 9 Jan · Shift 1 · Q31

JEE MainMathematicsComplex NumbersMCQ+4 / −1

Let A =

\left\{ {\theta \in \left( { - {\pi \over 2},\pi } \right):{{3 + 2i\sin \theta } \over {1 - 2i\sin \theta }}is\,purely\,imaginary} \right\}

. Then the sum of the elements in A is :

A
${5\pi \over 6}$
B
$\pi$
C
${3\pi \over 4}$
D
${{2\pi } \over 3}$

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