Fig. 8.77 at the centre of a circle touching two intersecting lines lies on the angle INCERT EXEMPLARI bisector of the lines.

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

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

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

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 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.

Consider the following statements: (i) Infinitely many circles can be drawn touching two parallel lines.( ii).Exactly four circles can be drawn touching two intersecting lines.(iii). Exactly one circle can be drawn touching three lines,not being concurrent.The true statements are:

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.