- #1

zorro

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## Homework Statement

A member of the family of the circles that cuts all the members of the family of circles

x^2 + y^2 + 2gx + c=0 orthogonally, where c is a constant and g is a parameter is?

## Homework Equations

## The Attempt at a Solution

Let the equation of the required circle be x^2 + y^2 + 2g1x + 2f1y + c1 =0

This circle cuts the given circle orthogonally.

Therefore 2g1g + 2f1f = c1 + c

IDK how to proceed after this.