Home Maths Circle and System of Circles General If the circle C 1 : x² + y² = 16 intersects …
Maths Circle and System of Circles General Single Correct MCQ
Published on: August 13, 2026

If the circle C 1 : x² + y² = 16 intersects another circle C 2 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 C 2 are:

A
B
C
D

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The correct answer is:
CHECK THE SOLUTION.

(b,d)

slope of C 1 C 2 is tan α = –

By using parametric coordinates C 2 (± 3 cos α , ± 3 sin α )

C 2 (± 3 (–3/5) , ± 3 (4/5)

C 2 (± 9/5 , 12/5)

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