JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

A value of

\theta

for which

\frac{{2 + 3i\sin \theta }}{{1 - 2i\sin \theta }}

is purely imaginary, is

View answer and explanation

Correct option: D

{\sin ^{ - 1}}\left( {\frac{1}{{\sqrt 3 }}} \right)\,

The correct answer is D (

{\sin ^{ - 1}}\left( {\frac{1}{{\sqrt 3 }}} \right)\,

) because the real part of the complex number must be zero for it to be purely imaginary.

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\alpha, \beta

\gamma

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