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If a circle C(1),x^(2)+y^(2)=16 intersec...

If a circle `C_(1),x^(2)+y^(2)=16` intersects another circle `C_(2)` of radius 5 in such a manner that the common chord is maximum length and has slope `3/4`, then show the centres of `C_(2)` are `(9/5,(-12)/5),((-9)/5,12/5)`

A

`( - 9/5 , 12/5)`

B

`(9/5 ,12/5)`

C

`(-5/9 , 6/5)`

D

`(7/5 , -12/5)`

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A
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