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

Find the equation of the circle which cuts the three circles x^2+y^2-3x-6y+14=0,x^2+y^2-x-4y+8=0, and x^2+y^2+2x-6y+9=0 orthogonally.

Find the equation of circle centred at (3,3) and touches the coordinate axes.

Find the equation of the circle having center at (2,3) and which touches x+y=1

Find the equation of the family of circles touching the lines x^2-y^2+2y-1=0.

Consider four circles (x+-1)^2+(y+-1)^2=1 . Find the equation of the smaller circle touching these four circles.

Find the locus of the center of the circle touching the circle x^2+y^2-4y=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=2sqrt3-1 Internally and tangents on which from (1, 2) are making of 60^0 with each other.

Find the equation of the circle whose radius is 5a n d which touches the circle x^2+y^2-2x-4y-20=0 externally at the point (5,5)dot

Find the equation of the circle described on the chord 3x+y+5=0 of the circle x^(2)+y^(2)=16 as diameter.