Question

The equation of a certain circle is \[x^{2}+y^{2}+6x+6y=87\], find the equation of a circle tangent to the given circle and center at (2,-2).

Answer 1

Center at (2, -2)
Center of given circle is
(-2 , -2)
Clearly,
The distance between the centres is 4 units.
Also radii of given circle = \[\sqrt{3^2 + 3^2 + 87} = \sqrt{105}\]

Answer 2

** Center of given circle is
(-3 , -3)
And distance of the centers is
\[\sqrt{5^2 + 1^2} = \sqrt{26}\]

Answer 3

Therefore the situation is like :