A circle is given by `x^2 + (y-1) ^2 = 1`, another circle C touches it externally and also the x-axis, then the locus of center is:

A circle passes through A(2,1) and touches y -axis then the locus of its centre is

A circle passes through A(2,1) and touches y -axis then the locus of its centre is

If C_(1): x^(2)+y^(2) =(3+2sqrt(2))^(2) be a circle. PA and PB are pair of tangents on C_(1) where P is any point on the director circle of C_(1) , then the radius of the smallest circle which touches C_(1) externally and also the two tangents PA and PB is

Locus of centre of a circle which touches x^2+y^2-6x-6y+14=0 externally and also touches y-axis

A variable circle is drawn to touch the line 3x4y=10 and also the circle x^(2)+y^(2)=1 externally then the locus of its centre is -

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 :

Radius of smaller circle that touches the line y=x at (1,1) and also touches the x -axis is:

The locus of the centres of circles which touches (y-1)^(2)+x^(2)=1 externally and also touches X-axis is