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Complex Numbers question

2016 · Shift 0 · Q22

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PYQ Library
JEE Main
Mathematics
Complex Numbers
2016 · Shift 0 · Q22

Complex Numbers question

2016 · Shift 0 · Q22

JEE MainMathematicsComplex NumbersMCQ+4 / −1

A value of

\theta \,

for which

{{2 + 3i\sin \theta \,} \over {1 - 2i\,\,\sin \,\theta \,}}

is purely imaginary, is :

A
${\sin ^{ - 1}}\left( {{{\sqrt 3 } \over 4}} \right)$
B
${\sin ^{ - 1}}\left( {{1 \over {\sqrt 3 }}} \right)\,$
C
${\pi \over 3}$
D
${\pi \over 6}$

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