If PAB are secant to the circle and PT is tangent segment; then `PAxxPB=PT^2`

Secant of a circle

Let PAB be a secant to a circle intersecting the circle at A and B. Let PT be the tangent segment. If PA = 9 cm and PT =12 cm, then what is AB equal to?

In the given figure, TB is a chord which passes through the centre of the circle . PT is a tangent to the circle at the point T on the circle . If PT=10cm , PA=5cm and AB=xcm , then the radius of the circle is :

In the given figure, TB is a chord which passes through the centre of the circle. PT is a tangent to the circle at the point T on the circle. If PT = 10 cm, PA = 5 cm and AB = x cm. then the radius of the circle is:

As shown in the figure,PA is a tangent to a circle and PBC is a secant,so that PB=AB . Prove that PB.PC=AC^(2)

In the adjoining figure, PQ is a chord of a circle and PT is the tangent at P such that angleQPT=60^(@). Find anglePRQ.

In figure, O is the centre of a circle. PT and PQ are tangents to the circle from an external point P. If angleTPQ=70^(@) , find angleTRQ .

In the figure above (not to scale), PQ is a tangent segment to the circle at P.If P,R,S and T are concyclic points, angle QPR =40^@ and PR=RQ then find angle PTS .