The two tangents from an external points P to a circle with centre at O are PA and PB. If `angle APB=70^(@)` then the value of `angle AOB` is

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

Two tangents PA and PB are drawn from an external point P to a circle with centre at O. If AOB = 105^(@) the A hat(P) B is :

The length of the tangents from an exterior point P to a circle with centre at O and radius 5 cm, is 12 cm, then OP in :

If the tangents PA and PB from an external point P to circle with centre O are inclined to each other at an angle of 40^@ , then angle POA = ………

Choose the correct answer and give justification for each. If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle of 80^(@) , then /_POA is equal to

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.

PQ and RS are two equal chords of a circle with centre O such that anglePOQ = 70^(@) , then ORS =

PQ is a tangent drawn from a point P to a circle with centre O and QOR is a diameter of the circle such that angle POR =120^(@) . Find angle OPQ .