JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Analyzing +4 | -1

{z_1},\;{z_2}

are two complex numbers satisfying

\left| {\frac{{{z_1} + 3{z_2}}}{{3 - {z_1}{{\bar z}_2}}}} \right| = 1,\;\left| {{z_1}} \right| \ne 3

, then

\left| {{z_2}} \right|

is equal to

View answer and explanation

Correct option: A

Option A (1) is correct because by manipulating the given equation and using properties of complex numbers, we find that

\left| {{z_2}} \right|

must be equal to 1.

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