A,B and C are three points on a circle with centre AO such that `angleBOC = 30^@, angleAOB = 60^@`. If D is a point on the circle other than the are ABC, find `angleADC`

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 .

C and D are the points on the semi-circle described on BA as diameter. Given angleBAD = 70^@ and angleDBC = 30^@ . Find angleABD and angleBDC

O is the4 centre of the circle. If angleAOC = 140^@ . Find angle ABC

(True/ False) If A, B, C, D are four points such that /_BAC = 30^@ and /_BDC = 60^@ , then D is the centre of the circle through A, B and C.

Two congruent circles with centres C and O' intersect at A and B. If angleAO'B = 50^@ , then find angleACB

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

True/False: Let O be the centre of a circle with radius r. Then a point P such that OP < r is called an interior point of the circle.

D is a point on the side BC of a triangle ABC such that angleADC = angleBAC . Show that CA^2 = CB. CD.

If tangents PA and PB from a point to a circle with centre O are inclined to each other at angle of 80 ∘ , then ∠POA is equal to ,

O is the centre of the circle and the measure of arc AOC is 120^@ . Find angleADC and angleABC