The locus of the centres of the circles which touch `x^2+y^2=a^2` and `x^2+y^2=4ax, externally

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

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

Find the locus of the centre of the circle touching the line x+2y=0a n d x=2y

Consider the locus of center of the circle which touches the circle x^(2)+y^(2)=4 externally and the line x=4. The distance of the vertex of the locus from the otigin is __________ .

The locus of centres of all circles which touch the line x = 2a and cut the circle x^2 + y^2 = a^2 orthogonally is

The locus of the centre of the circle cutting the circles x^2+y^2–2x-6y+1=0, x^2 + y^2 - 4x - 10y + 5 = 0 orthogonally is

Find the locus of the center of the circle touching the circle x^2+y^2-4y-2x=4 internally and tangents on which from (1, 2) are making of 60^0 with each other.

Find the locus of the center of the circle touching the circle x^2+y^2-4y-2x=4 internally and tangents on which from (1, 2) are making of 60^0 with each other.

The locus of centre of the circle touching x-axis nad the line y=x is

The centres of those circles which touch the circle, x^2+y^2-8x-8y-4=0 , externally and also touch the x-axis, lie on : (1) a circle. (2) an ellipse which is not a circle. (3) a hyperbola. (4) a parabola.