Equation of circle touching `x+y-2=0` at ` (1,1)`and passing through `(2,-3)` is

Equation of circle touching line 2x+y=3 at (1,1) and also passing through point (2,3) is

The equation of circle touching the line 2x+3y+1=0 at the point (1,-1) and passing through the focus of the parabola y^2=4x is

Equation of circle which touches line x = y at the origin , and passes through (2,1), is

The radius of circle, touching the parabola y^(2)=8x at (2, 4) and passing through (0, 4), is

If a conic passes through (1, 0) and satisfies differential equation (1 + y^2) dx - xy dy = 0 . Then the equation of circle which is touching this conic at (sqrt(2),1) and passing through one of its foci is:

let S_(1)=x^(2)+y^(2)-4x-8y+4=0 and S_(2) be its smage in the line y=x find the equation of circle touching y=x at (1,1) and its radical axes with S_(2) passes through the centre of S_(1)

Sum of the abscissa and ordinate of the centre of the circle touching the line 3x+y+2=0 at the point (-1,1) and passing through the point (3,5) is-

Equation of the circle with centre at (1,-2) , and passing through the centre of the circle x^(2) + y^(2) + 2y - 3 = 0 , is

The equation of circle which touches the line y=x at origin and passes through the point (2,1) is x^(2)+y^(2)+px+qy=0 Then p,q are