Find the equation of the circle which cuts orthogonally three circles and
Let the equation of the required circle be
.Let this equation be 1.
The given circles be 2,3,4.
Equation 1 cuts 2,3,4 orthogonally,
. equation 5.
. equation 6
. equation 7.
Substituting these values in 5,we get
Therefore the equation of the required circle is