JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

Let

x_1

and

y_1

be real numbers. If

z_1

and

z_2

are complex numbers such that

\left|z_1\right|=\left|z_2\right|=4

, then

\left|\mathrm{x}_1 \mathrm{z}_1-\mathrm{y}_1 \mathrm{z}_2\right|^2+\left|\mathrm{y}_1 \mathrm{z}_1+\mathrm{x}_1 \mathrm{z}_2\right|^2=

View answer and explanation

Correct option: A

32\left(\mathrm{x}_1^2+\mathrm{y}_1^2\right)

Option A (2) is correct because the minimum value is obtained when any two are zero and the third is a minimum magnitude integer i.e. 1.

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