If the circle C 1 : x 2 + y 2 = 16 intersects another circle C 2 of radius 5 in such a…
Mathematics · JEE Advanced · NTA Exams — Co-ordinate Geometry
If the circle C1 : x2 + y2 = 16 intersects another circle C2 of radius 5 in such a manner that the common chord is of maximum length and has a slope equal to 3/4, then the co-ordinates of the centre of C2 are :
- \(\left( \pm \frac{9}{5}, \pm \frac{2}{5}\right)\)
- \(\left( \pm \frac{9}{5}, \mp \frac{2}{5}\right)\)
- \(\left( \pm \frac{R}{5}, \pm \frac{9}{5}\right)\)
- \(\left( \pm \frac{2}{5}, \mp \frac{9}{5}\right)\)
Answer
(B) ( 9 5 , 2 5 )
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