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Let complex numbers alphaand (1)/(alph...

Let complex numbers `alphaand (1)/(alpha)` lie on circles `(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|`=

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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