Show that the locus of the centre of a circle which touches externally two given circles is a hyperbola.

The locus of the centre of the circles which touches both the axes is given by

The locus of the centre of a circle the touches the given circle externally is a _______

What is the locus of centres of circles which touch a given line at a given point ?

Find the locus of the centres of circles which touch a given line at a given point.

Two circles are given such that one is completely lying inside the other without touching.Prove that the locus of the center of variable circle which touches the smaller circle from outside and the bigger circle from inside is an ellipse.

Find the locus of centres of circles which touch two intersecting lines.