JEE Advance - Mathematics (1988 - No. 23)
If the circle $${C_1}:{x^2} + {y^2} = 16$$ intersects another circle $${C_2}$$ of radius 5 in such a manner that common chord is of maximum lenght and has a slope equal to 3/4, then the coordinates of the centre of $${C_2}$$ are.............................
(9/5, -12/5)
(-9/5, 12/5)
(0, 0)
(9/5, 12/5) or (-9/5, -12/5)
(9/5, -12/5) or (-9/5, 12/5)
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