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For any two complex numbers z1\ a n d\ z...

For any two complex numbers `z_1\ a n d\ z_2` and any two real numbers `a ,\ b` find the value of `|a z_1-b z_2|^2+|a z_2+b z_1|^2dot`

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)`

D

None of these

Text Solution

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The correct Answer is:
A
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