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For any two complex numbers z1,z2 and an...

For any two complex numbers `z_1,z_2` and any real numbers `aa n db ,|a z_1-b z_2|^2+|b z_1+a z_2|^2=`

A

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

B

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

C

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

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
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