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Let x1 and y1 be real numbers. If z1 and...

Let `x_1 and y_1` be real numbers. If `z_1 and z_2` are complex numbers such that `|z_1| = |z_2|=4`, then `|x_1 z_1 - y_1 z_2|^(2) + |y_1 z_1 + x_1 z_2 |^(2)` is equal to

A

`32 (x_(1)^(2) + y_(1)^(2) )`

B

`16 (x_(1)^(2) + y_(1)^(2) )`

C

`4 ( x_(1)^(2) + y_(1)^(2) )`

D

32

Text Solution

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The correct Answer is:
A
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