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

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

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 arc ABC, find angle ADC .

In the given figure, PQ is the tangent at a point C on a circle with centre O. If AB is a diameter and |__CAB=30^(@) , find |__PCA .

In the given figure, angle ABC = 69^(@), angle ACB = 31^(@) , find angle BDC .

In the given figure 4.13 ,xy and x'y' are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting xy at A and x'y' at B. Prove that angle AOB =90^@ .

In the given figure, from an external point P, two tangents PT and PS are drawn to the circle with centre O and radius r. If PO=2r , show that |__OTS= |__OST=30^(@) .

In the figure, CP and CQ are tangents from an external point C to a circle with centre O. AB is another tangent which touches the circle at R. If CP=11 cm and BR=4 cm. Find BC.

In given figure, A, B, C and D are four points on a circle. AC and BD intersect at a point E such that angle BEC = 130^(@) and angle ECD = 20^(@) . Find angle BAC.

In the given figure, AP and BP are tangents to a circle with centre O such that AP=5 cm and |__APB=60^(@) . Find the length of chord AB.

In the figure AB and AC are the two tangents drawn from the point A to the circle with centre O, If AngleBỌC = 130* then find AngleBAC