In the figure PQ is a diameter of a circle with centre O. QR is a tangent to the circle equal to OQ. OT is perpendicular to PR. QT is produced to cut the circle at S Prove that `SP = ST`

In the given figure, AB is diameter of the circle with centre O. AQ, BP and PRQ are tangents. Prove that OP and OQ are perpendicular to each other.

In the adjoining figure, seg AB is a diameter of a circle with centre C . Line PQ is a tangent, it touhces the circle at T. segs AP and BQ are perpendiculars to line PQ. Prove seg CP ~= seg CQ .

In the figure, PQ is tangent to a circle with centre O. OQ=12, PQ=6. Find the area of the shaded portion

In figure RQ is a tangent to the circle with centre O.If PQ=6cm and QR=4cm then the value of OR is

In the figure PQ and PQ and PR are tngnets to the circle with centre 'O' , then x = …….

In figure if PR is tangent to the circle at P and O is the centre of the circle then angle POQ is

In figure, PQ and PR are two tangents to a circle with centre O. IF angleQPR=46^@ , then angleQOR equals