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Let z1 and z2 be the root of the equatio...

Let `z_1 and z_2` be the root of the equation `z^2+pz+q=0` where the coefficient p and q may be complex numbers. Let A and B represent `z_1 and z_2` in the complex plane. If `/_AOB=alpha!=0 and 0 and OA=OB, where O` is the origin prove that `p^2=4qcos^2 (alpha/2)`

A

`4 q cos "" (alpha)/(2)`

B

` 4 q cos ^(2)"" (alpha)/(2)`

C

`4 q sin "" (alpha)/(2)`

D

` 4 q sin^(2)"" (alpha)/(2)`

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The correct Answer is:
B
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