JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Let

{z_1}

and

{z_2}

be complex numbers, then

{\left| {{z_1} + {z_2}} \right|^2} + {\left| {{z_1} - {z_2}} \right|^2}

is equal to

View answer and explanation

Correct option: B

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

Option B is correct because the expression simplifies to

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

using the properties of complex numbers and their conjugates.

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