The equation of a circle `C_1` is `x^2+y^2-4x-2y-11=0` A circle`C_2` of radius `1` rolls on the outside of the circle `C_1` The locus of the centre `C_2` has the equation

The equation of a circle C_1 is x^2+y^2= 4 . The locus of the intersection of orthogonal tangents to the circle is the curve C_2 and the locus of the intersection of perpendicular tangents to the curve C_2 is the curve C_3 , Then

The equation of a circle C_1 is x^2+y^2= 4 . The locus of the intersection of orthogonal tangents to the circle is the curve C_2 and the locus of the intersection of perpendicular tangents to the curve C_2 is the curve C_3 , Then

The equation of a circle C_1 is x^2+y^2= 4 . The locus of the intersection of orthogonal tangents to the circle is the curve C_2 and the locus of the intersection of perpendicular tangents to the curve C_2 is the curve C_3 , Then

The equation of a circle C_(1) is x^(2)+y^(2)=4 The locus of the intersection of orthogonal tangents to the circle is the curve C_(2) and the locus of the intersection of perpendicular tangents to the curve C_(2) is the curve C_(3), Then

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 :

If x^(2)+y^(2)-4x+6y+c=0 represents a circle of radius 5 then c=

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