JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Analyzing +4 | -1

Let

{z_1}

and

{z_2}

be any two non-zero complex numbers such that

3\left| {{z_1}} \right| = 4\left| {{z_2}} \right|\mathrm{.}

z = \frac{{3{z_1}}}{{2{z_2}}} + \frac{{2{z_2}}}{{3{z_1}}},

then

View answer and explanation

Correct option: D

None of the above

The correct answer is None of the above because the magnitude of z is

\sqrt{\frac{{17}}{2}}

, and z is neither purely real nor purely imaginary.

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