JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Application +4 | -1

z_1, z_2

are two complex numbers such that

\left|z_1\right|=

\left|z_2\right|=\sqrt{2}

and

\left|z_1+z_2\right|=\sqrt{3}

, then

\left|z_1-z_2\right|

equals:

View answer and explanation

Correct option: B

\sqrt{5}

Option B (

\sqrt{5}

) is correct because it is derived from the parallelogram law relating the sum and difference of two complex numbers to their magnitudes.

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