JEE MATHEMATICS MCQ: SYSTEM OF CIRCLES

1 Hard

1 of 1

Analyzing +4 | -1

If the circle

{C_1}\;:{x^2} + {y^2} = 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

, the coordinates of the centre of

{C_2}

are

View answer and explanation

Correct option: A

\left( { - 9/5,12/5} \right),\left( {9/5, - 12/5} \right)

Option D is correct because the condition for no solution is that the constant 'c' must be greater than a certain value derived from tangency.

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