JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

\left|z_1\right|=\left|z_2\right|

and

\arg \left(z_1\right)+\arg \left(z_2\right)=\pi / 2

, then

View answer and explanation

Correct option: B

z_1 z_2

is purely imaginary

The correct answer is B (

z_1 z_2

is purely imaginary) because the product of two complex numbers with arguments summing to

\pi/2

results in a purely imaginary number.

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