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.

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

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

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

The angle between the tangents drawn from the point (1, 4) to the parabola y^(2)=4x is -

If two tangents are drawn to a circle from a point outside it, them the line segments joining the point of contacts and the exterior point are equal.

Prove that if two tangents are drawn to a circle from a point outside it, then the line segments joining the point of contacts and the exterior point are equal.

Prove that form any external point two tangents can be drawn to 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.