Prove that the centre of a circle touching two intersecting lines lies on the angle bisector of the lines.

Prove that the line joining the centres of two intersecting circles is the perpendicular bisector of the line joining the points of intersection.

Prove that the line joining the centres of two intersecting circles is the perpendicular bisector of the line joining the points of intersectíon.

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

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

Prove that the line of centres of two intersecting circles subtends equal angles at the two point of intersection.

Prove that the line of centres of two intersecting circles subtends equal angles at the two points of intersection.

Prove that the line of centres of two intersecting circles subtends equal angles at the two points of intersection

Prove that the line of centres of two intersecting circles subtends equal angles at the two points of intersection

Prove that the line of centres of two intersecting circles subtends equal angles at the two points of intersection.

Prove that the locus of the centres of all circles passing through two given points A, B is the perpendicular bisector of the line segment AB.