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Let complex numbers alpha and 1/alpha li...

Let complex numbers `alpha and 1/alpha` lies on circle `(x-x_0)^2+(y-y_0)^2=r^2 and (x-x_0)^2+(y-y_0)^2=4r^2` respectively. If `z_0=x_0+iy_0` satisfies the equation `2|z_0|^2=r^2+2` then `|alpha|` is equal to

A

`1/sqrt(2)`

B

`1/2`

C

`1/sqrt(7)`

D

`1/3`

Text Solution

Verified by Experts

The correct Answer is:
C
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