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 the centre of a circle touching the circle x^(2)+y^(2)-4y-2x=2sqrt(3)-1 internally and tangents on which from (1,2) is making a 60^(@) angle with each other is a circle. then integral part of its radius is

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

The locus of the centre of the circle which cuts the circle x^(2)+y^(2)-20x+4=0 orthogonally and touches the line x=2 is

Find the equation of a circle with center (4,3) touching the circle x^(2)+y^(2)=1

The locus of centre of circle which touches the circle x^(2)+y^(2)=1 and y- axis in 1 st quadrant is

Find locus of centre of circle which touches between x^2+y^2=9 internally and (x-2)^2+y^2=1 externally

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 __________ .

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 __________ .

Locus of the centre of the circle which touches the x-axis and also the circle (x-2)^(2)+(y-2)^(2)=4 externally is

Find the equation of the two tangents from the point (0,1) to the circle x^(2)+y^(2)-2x+4y=0