Write True or False:
Two tangents can be drawn from any external point to a circle.

Only three tangents can be drawn from a external point of a circle.

True or False: Only one tangent can be draw on a circle.

Prove that the internal bisector of the angle between two tangents drawn from an external point of a circle will pass through the centre of the circle.

Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line - segment joining the points of contact at the centre.

The lengths of the two tangents from an external point to a circle are equal.

AP and AQ are two tangents drawn from an external point A to a circle with centre O, P and Q are points of contact. If PR is a diameter, prove that OA||RQ.

In a circle with centre O, a tangent is drawn from an external point A to the circel which touches the circel at B. If OB = 5 cm, OA =13 cm, then the length of AB=

Prove that the internal angle between two tangents drawn from an external point is bisected by the straight line obtained by joining that point and the centre of the circle.

In the adjoining figure, two tangents drawn from external point C to a circle with centre O touches the circel at the point P and Q respectively. A tangent drawn at another point R of the circle intersects CP and CQ at the points A and B respectively. If CP = 7 cm and BC =11 cm, then determine the length of BR.

Two tangents AB and AC drawn from an external point A of a circle touch the circle at the point B and C .A tangent drawn a point X lies on minor are BC intersects AB and AC at the points D and E respectively. Prove that perimeter of DeltaADE=2AB.