JEE MATHEMATICS MCQ: SYSTEM OF CIRCLES

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Analyzing +4 | -1

The coordinates of the centre of the circle which intersects circles

{x^2} + {y^2} + 4x + 7 = 0,\;2{x^2} + 2{y^2} + 3x + 5y + 9 = 0

and

{x^2} + {y^2} + y = 0

orthogonally are

View answer and explanation

Correct option: B

\left( { - 2, - 1} \right)

Option B (

\left( { - 2, - 1} \right)

) is correct because the center of the circle intersecting the given circles orthogonally is the radical center of the given circles.

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