JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

Z_{1} \neq 0

and

Z_{2}

be two complex numbers such that

\frac{Z_{2}}{Z_{1}}

is a purely imaginary number, then

\left|\frac{2 Z_{1}+3 Z_{2}}{2 Z_{1}-3 Z_{2}}\right|

is equal to:

View answer and explanation

Correct option: D

Option D (1) is correct because when

\frac{Z_{2}}{Z_{1}}

is purely imaginary, the magnitude of the expression simplifies to 1.

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