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For any two complex numbers `z_(1)` & `z_(2)` and any two real numbers `a , b |az_(1) - bz_(2)|^(2) + |bz_(1) + az_(2)|^(2) =`

A

`(a^(2) - b^(2)) (|z_(1)|^(2) + |z_(2)|^(2))`

B

`(a^(2) + b^(2)) (|z_(1)|^(2) + |z_(2)|^(2))`

C

`(a^(2) + b^(2)) (|z_(1)|^(2) - |z_(2)|^(2))`

D

`(a^(2) -b^(2)) (| z_(1)|^(2) - |z_(2)|^(2))`

Text Solution

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The correct Answer is:
B
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