PQ is a diameter of the circle with centre at O. The tangent drawn at C on the circle intersects externded PQ at R. If `angle CPO =30^(@),` then find the value of `angle QCR.`

PQ is a diameter of the circle with centre at O. The tengent drawn at A on the circle intersect the extended PQ at R. If angle PRA=45^(@), then angle OAP=

In the figure, O is the centre and BOA is a diameter of the circle. A tangent drawn to the circels at the point P intersects the extended BA at the point T. If angle PBO=30^(@), find the value of angle PAT.

Manas has drawn a circle with centre O of which AB is a chord. A tangent is drawn at the point B which intersects extended AO at the point. T. If angle BAT=21^(@), find the value of angle BTA.

If PQ be a diamter of a circle with centre at O and if PR= RQ, then the value of angle RPQ is

Tangents are drawn at extremities AB of a diameter of a circle centred at P. If tangents drawn at a point C on the circle meet the other two tangents respectively at Q and R then measure of angle QPR is

In the figure given above, PQ is a diameter of the circle whose centre is at O. If angle ROS = 42^(@) , then what is the value of angle RTS ?

If Fig , AOB is diameter of a circle with centre O and AC is a tangent to the circle at A . If angle BOC = 130^@ , then find angleACO .