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

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. Square of the length of the intercept made by x^(2) + y^(2) + 4x - 12 = 0 on any tangents to C_(2) is

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. Square of the length of the intercept made by x^(2) + y^(2) + 4x - 12 = 0 on any tangents to C_(2) is

A circle c_1 of radius 2 units rolls on the other side of the circle c_2 : x^2+y^2+4x=0 ,touching its externally .The locus of the centre of this outer circle C_1, is the circle C_3 :

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. Area of a quadrilateral found by a pair of tangents from a point of x^(2) + y^(2) + 4x -12 = 0 to C_(2) with a pair of radii at the points of contact of the tangents is ( in sq. units )

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. Area of a quadrilateral found by a pair of tangents from a point of x^(2) + y^(2) + 4x -12 = 0 to C_(2) with a pair of radii at the points of contact of the tangents is ( in sq. units )

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

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

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