JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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For two complex numbers

{z_1},\;{z_2}

the relation

\left| {{z_1} + {z_2}} \right| = \left| {{z_1}} \right| + \left| {{z_2}} \right|

holds, if

View answer and explanation

Correct option: A

\arg \left( {{z_1}} \right) = \arg \left( {{z_2}} \right)

Option A is correct because the equality

\left| {{z_1} + {z_2}} \right| = \left| {{z_1}} \right| + \left| {{z_2}} \right|

holds only when the arguments of the two complex numbers are equal.

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