The length of tangent from an external point is always ______ then the length of the line joining the point and the _______.

Prove that the length of tangents drawn from an external point to a circle are equal.

If two tangents are drawn from an external point to a circle, what is the relation between the length of the tangents.

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 length of a tangent from a point A at distance 5 cm from the centre of the circle is 4 cm.Find the radius of the circle.

Find the length of the perpendicular from the point P (2, -3) to the line joining the points A (4, 2) and B (0, -1).

Find the direction ratios of the line joining the points P (1, 3, -2) and Q ( -2 , 4, 0).

A tangents to a circle intersects it in ____points

The distance between two poles of the same height standing on the same plane is 100m.The angles of elevation of the tops of the two poles from a point lying on the line joining the base-points of the poles are found to be 30^@ and 60^@ respectively.Find the heights of the poles and the position of the point.

The length of the tangent from a point at P at a circle of radius 3 cm is 4 cm . The distance of P from the centre of the circle is

PA and PB are two tangents drawn from an external point P at the points A and B on a circle with centre O.If another tangent to the circle intersects PA and PB at L and M respectively,show that LM=AL+BM.