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If the circle C(1) : x^(2) + y^(2) = 16 ...

If the circle `C_(1) : x^(2) + y^(2) = 16` intersects another circle `C_(2)` of radius 5 units in such a manner that the common chord is of maximum length and has a slope equal to `(3)/(4)`, find the coordinates of the centre of `C_(2)`.

Text Solution

Verified by Experts

The correct Answer is:
`((9)/(5), -(12)/(5))` or `(-(9)/(5), (12)/(5))`
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