Circle 4 Question 15
15. If the circle intersects another circle of radius 5 in such a manner that the common chord is of maximum length and has a slope equal to , then the coordinates of the centre of are… .
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Answer:
Correct Answer: 15.
Solution:
- Given,
and let
[given]
If
Also, the length of the chord is
The chord will be of maximum length, if
Hence, centres are