Question

The circles x2+y2−12x+8y+48=0, x2+y2−4x+2y+4=0

A.
Touch internally

B.
Touch externally

C.
Intersecting at two points

D.
Are such that one completely lies outside the othe

Answer 1

Step-by-step explanation:

+y

2

−12x+8y+48=0 [ From point (1) ]

r

1

=2

C

1

≡(6,−4)

and x

2

+y

2

−4x+2y−4=0

C

2

≡(2,−1)

r

2

≡3

Distance between centre =

4

2

+3

2

=5=r

1

+r

2

So, This two circle touch each other.

So. no of common tangent =2 external tangents

+1 internal tangent

=3 tangent common,