In Figure, the tangent l is parallel to the tangent m drawn at points A and B respectively to a circle centred at O. PQ is a tangent to the circle at R. Prove that `angle POQ = 90^@`.

Prove that the tangents drawn at the ends of the diameter of a circle are parallel.

Prove that the tangents drawn at the ends of a diameter of a circle are parallel.

A chord PQ of a circle is parallel to the tangent drawn at a point R of the circle,Prove that R bisects the arc PRQ.

In the figure, O is the centre of a circle,PQL and PRM are the tangents at the points Q and R respectively and Sis a point on the circle such that angle SQL =50^@ and angle SRM = 60^@ . Then , angle QSR is equal to

Two tangents PA and PB are drawn to a circle with centre O from an external point P. Prove that angle APB = 2 angle OAB

In the given figure, AB is a tangent to a circle with centre O. Prove angle BPQ = angle PRQ .

In the given figure, PQL and PRM are tangents to the circle with centre 'O' at the points Q and R, respectively and S is a point on the circle such that angle SQL = 50^(@) and angle SRM = 60^(@) . Then angle QSR is equal to

PQ is tangent at a point R of the circle with centre O. If ST is a diameter of the circle and angle TRQ = 30^(@) find angle PRS