A circle `C_(1)` of radius 2 units rolls outside the circle `C_(2)=x^(2)+y^(2)+4x=0` touching it externally. The line joining their centres makes an angle of `60^(@)` with x-axis.

Answer following:
Locus of centre of outer circle `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. The locus of the centre of C_(1) 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. 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. 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 of radius 2 units rools on the outer side of the circle x^2 + y^2 + 4x=0 , touching it externally. Find the locus of the centre of this outer circle. Also find the equations of the common tangents of the two circles when the line joining the centres of the two circles makes an angle of 60^0 with x-axis.

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

Find the radius and centre of the circle of the circle x^(2) + y^(2) + 2x + 4y -1=0 .

A circle touches the line L and the circle C_(1) externally such that both the circles are on the same side of the line, then the locus of centre of the circle is :

If a circle C passing through the point (4,0) touches the circle x^(2)+y^(2)+4x-6y=12 externally at the point (1,-1) ,then the radius of C is