[" 13.TP and TQ are the tangents from the external point T of a circle with centre O."],[" If "/_OPQ=30^(@)" then find the measure of "/_TQP]

TP and TQ are the tangents from the external point T of a circle with centre O. If angle OPQ = 30^(@) then find the measure of angle TQP .

In the given figure, TP and TQ are tangents drawn from an external point T to a circle with centre O such that angleTQP=60^(@) . Find angelOPQ.

In the given figure, TP and TQ are tangents drawn from an external point T to a circle with centre O such that angleTQP=60^(@) . Find angelOPQ.

In the figure, PA is a tangent from an external point P to a circle with centre O. If anglePOB = 115^(@) , find angleAPO .

In the figure, PA is a tangent from an external point P to the circle with centre O and diameter AB. If angle POB = 110^@ , then the measure of angle APO is:

In Fig.10.11, if TP and TQ are the two tangents to a circle with centre O so that /_POQ=110^(@) then is equal to

If the angle between two tangents drawn from an external point P to a circle of radius 'a' and centre O, is 60^(@), then find the length of OP.