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The abscissa of the two points A and B are the roots of the equation `x^2+2a x-b^2=0` and their ordinates are the roots of the equation `x^2+2p x-q^2=0.` Find the equation of the circle with AB as diameter. Also, find its radius.

A

`sqrt(a^(2)+p^(2))`

B

`sqrt(b^(2)+q^(2))`

C

`sqrt(a^(2)+b^(2))`

D

`sqrt(a^(2)+b^(2)+p^(2)+q^(2))`

Text Solution

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The correct Answer is:
D
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