Find the equation of the circle having the lines `x^2+2xy+3x+6y=0` as its normal and having size just sufficient to contain the circle `x(x-4)+y(y-3)=0`

The equation of the circle having the lines y^(2)-2y+4x-2xy=0 as its normals &x passing through the point (2,1) is.

The equation of the circle having the lines y^(2) – 2y + 4x – 2xy = 0 as its normals & passing through the point (2, 1) is

Find the equation of the tangent to the circle x^(2)+y^(2)-30x+6y+109=0 at (4,-1)

Find the equation of the circle having centre at (3,2), and touching the line 4x + 3y - 8 = 0 .

Find the parametric equation of the circles : 3x^2 + 3y^2 + 4x-6y - 4 = 0

The equation of the circle having its centre on the line x+2y-3=0 and passing through the points of intersection of the circles x^(2)+y^(2)-2x-4y+1=0 and x^(2)+y^(2)-4x-2y+4=0 is

Find the equation.of the circle concentric with the x^(2)+y^(2)+4x-8y-6=0 and having radius double of its radius.

Find the image of the circle x^(2)+y^(2)-2x+4y-4=0 in the line 2x-3y+5=0