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If the tangent at (3,-4) to the circle x...

If the tangent at (3,-4) to the circle `x^(2)+y^(2)-4x+2y-5=0` cuts the circle `x^(2)+y^(2)+16x+10=0` in A and B , then find the midpoint of AB.

A

`(-6,-7)`

B

`(2-1)`

C

`(2,1)`

D

`(5,4)`

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The correct Answer is:
A
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