Find the equation of the circle which cuts orthogonally the circle `x^2+y^2-6x+4y-12=0` and having the centre at (-1,2).

Find the equation of the circle which cuts orthogonally the circle x^2+y^2-4x+2y-7=0 and having the centre at (2,3)

Find the equation of the circle which cuts orthogonally the circle x^2 + y^2 – 6x + 4y -3 = 0 ,passes through (3,0) and touches the axis of y.

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

Find the equation of the circle concentric with the circle x^2 + y^2 - 4x - 6y - 3 = 0 and which touches the y axis

Find the equation of the circle which cuts the circle x^(2)+y^(2)+5x+7y-4=0 orthogonally, has its centre on the line x=2 and passes through the point (4,-1).

Find the equation of the circle concentric with the circle 2x^2 + 2y^2 - 6x + 8y+1=0 and of double its area.

Obtain the equation of the circle orthogonal to both the circles x^2+y^2+3x-5y+6=0 and 4x^@+4y^2-28x+29=0 and whose centre lies on the line 3x+4y+1=0

Find the equation of the circle which passes through the centre of the circle x^(2)+y^(2)+8x+10y-7=0 and is concentric with the circle 2x^(2)+2y^(2)-8x-12y-9=0

Find the equation of the circle whose radius is 3 and which touches internally the circle x^2+y^2-4x-6y=-12=0 at the point (-1,-1)dot

Equation of the circle which cuts the circle x^2+y^2+2x+ 4y -4=0 and the lines xy -2x -y+2=0 orthogonally, is