Question

The locus of the centre of a circle which cuts
the circles 2x² + 2y? - x - 7=0 and 4x2 +4y2-3x
- y =0 orthogonally is a straight line whose
slope is
​

Answer 1

Answer:

⇒ as we know,

The locus of the centre of circle cutting two given circle

orthogonally is the radical axis of two circles

∴s

1

−s

2

=

4

x

+

4

y

−

2

7

=0

⇒x+y=15

slope=m=−1

Hope this hellp you