Home Maths Circle and System of Circles Mix The locus of the centres of the circles whic…
Maths Circle and System of Circles Mix Single Correct MCQ
Published on: August 14, 2026

The locus of the centres of the circles which cut the circles

x 2 + y 2 + 4x –6y + 9 = 0 andx 2 + y 2 –5x + 4y + 2 = 0 orthogonally is-

A
3x + 4y –5 = 0
B
9x –10y + 7 = 0
C
9x + 10y – 7 = 0
D
9x –10y + 11 = 0

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The correct answer is:
B

The locus of centres of the circles which cut two

circle orthogonally is their radical axis so equation of locus is C 1 –C 2 = 0

9x – 10y + 7 = 0

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