Question

For any two complex numbers ${z_1}$ and ${z_2}$ and any real numbers $a$ and $b$, ${\left| {a{z_1} - b{z_2}} \right|^2} + {\left| {b{z_1} + a{z_2}} \right|^2}$ is equal to

Accepted Answer

$\left( {{a^2} + {b^2}} \right)\left( {{{\left| {{z_1}} \right|}^2} + {{\left| {{z_2}} \right|}^2}} \right)$

Answer

$\left( {{a^2} + {b^2}} \right)\left( {\left| {{z_1}} \right| + \left| {{z_2}} \right|} \right)$

Answer

$\left( {{a^2} + {b^2}} \right)\left( {{{\left| {{z_1}} \right|}^2} - {{\left| {{z_2}} \right|}^2}} \right)$

Answer

None of the above

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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