JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Analyzing +4 | -1

Let

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

Then the sum of the elements in

A

View answer and explanation

Correct option: A

4 \pi

Option A,

4 \pi

, is the correct sum of the elements in set A, which contains values of

\theta

that make the given expression purely imaginary. The values are

\frac{\pi}{4}, \frac{3 \pi}{4}, \frac{5 \pi}{4}, \frac{7 \pi}{4}

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