Find the center of the smallest circle which cuts circles `x^2+y^2=1` and `x^2+y^2+8x+8y-33=0` orthogonally.

Find the locus of the centres of the circle which cut the circles x^(2)+y^(2)+4x-6y+9=0 and x^(2)+y^(2)+4x+6y+4=0 orthogonally

The centre of the smallest circle touching the circles x^(2)+y^(2)-2y-3=0 and x^(2)+y^(2)-8x-18y+93=0

Find the equation of the circle which cuts the circles x^(2)+y^(2)-9x+14=0 and x^(2)+y^(2)+15x+14=0 orthogonally and passes through the point (2,5)

The centre of the smallest circle touching the circles x^(2)+y^(2)-2y-3=0 and x^(2)+y^(2)-8x-18y+93=0 is:

The equation of a circle is x^(2)+y^(2)=4. Find the center of the smallest circle touching the circle and the line x+y=5sqrt(2)

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).

The centre of the circle that cuts the circle x^(2)+y^(2)+2gx+2fy+c=0 and lines x=g and y=f orthogonally is

The locus of the centers of the circles which cut the circles x^(2) + y^(2) + 4x – 6y + 9 = 0 and x^(2) + y^(2) – 5x + 4y – 2 = 0 orthogonally is