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If `z_1 and z_2` are two complex number and a, b, are two real number then `|a z_1-b z_2|^2+|b z_1+a z_2|^2` equals

A

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

B

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

C

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

D

`2ab |z_(1)z_(2)|`

Text Solution

Verified by Experts

The correct Answer is:
C
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MCGROW HILL PUBLICATION-COMPLEX NUMBERS -SOLVED EXAMPLES LEVEL 1
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