From an external point P, tangent PA=PB are drawn to a circle with centre O. If `anglePAB=50^@,` then find `angleAOB`.

Two tangent segments PA and PB are drawn to a circle with centre O such that angleAPB=120^@ . Prove that OP=2AP.

Two tangent TP and TQ are drawn to a circle with centre O from an external point T. prove that angle PTQ=2 angle OPQ.

Two tangents TA and TB to circle with centre O are inclined to each other angle of 70^(@) . Then, Find angleOAB .

In the figure 'O' is the centre of the circle angle AOB = 100^@ find angle ADB

In the given figure. If TP and TQ are the two tangents to a circle with centre O so that angle POQ= 110^(@) , then angle PTQ is equal to …….

In the given figure, A, B and C are three points on a circle with centre O such that angle BOC = 30 ^(@) and angle AOB = 60^(@). If D is a point on the circle other than the are ABC, find angle ADC.

In the given figure, PA and PB are tangent to the circle from an external point P. CD is another tangent touching the circle at Q. If PA=12cm and QC=QD=3cm, then find PC+PD.

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

In the given figure, angle PQR = 100^(@), where P, 9 and R are points on a circle with centre O. Find angle OPR.

The pair of tangents AP and AQ drawn from an external point to a circle with centre O are perpendicular to each other and the length of each tangent is 4 cm. Then, the radius of the circle is ... cm.