Locus of centre of a circle of radius `2,` which rolls on the outside of circle `x^2 +y^2 + 3x-6y-9=0` is

The locus of the centre of a circle radius 2 which rolls on the outside of the circle x^2+y^2+3x-6y-9=0 is

The Locus of the centre of the circle of radius 3, which rolls on the outside of the circle x^2+y^2+3x-6y-9=0 is :

The locus of the centre of the circle of radius 2 which rolls on the inside of the circle x^2+y^2+3x-6y-9=0 is

Locus of the centre of circle of radius 2 which rolls on out side the rim of the circle x^(2)+y^(2)-4x-6y-12=0 is

Locus of the centre of circle of radius 2 which rolls on out side the rim of the circle x^(2)+y^(2)-4x-6y-12=0 is

What is the equation to the locus of the centre of a circel of radius 1 unit which rolls inside the circle x ^(2) +y^(2) -2x +2y -7 =0 ?

A circle C_(1) of radius 2 units rolls o the outerside of the circle C_(2) : x^(2) + y^(2) + 4x = 0 touching it externally. The locus of the centre of C_(1) is