In the adjoining figure , two circles intersect each other at the points P and Q. If `angleQAD=80^(@)andanglePDA=84^(@)`, then find the value of `angleQBCandangleBCP`

In the adjoining figure , if angleBAD=60^(@).angleABC=80^(@) , then find the values of angleDPCandangleBQC .

In the adjoining figure, O is the center of the circle and AC is a diameter of it If DC||EB, angleAOB=80^(@)andangleACE=10^(@) , then find the value of angleBED.

In the adjoining figure, AB is the diameter of the circle and two points C and D are on the circle. If angle CAD=45^@ and angleABC=65^@ , then find the value of angle DCA .

In the adjoining figure, AB is the diameter of the circle and two points C and D are on the circle. If angle CAD=45^@ and angleABC=65^@ , then find the value of angle DCA .

In the adjoining figure, two circles with centres P and Q intersect each other at the points B and C, ACD is a line segment . If angleARS=150^(@)andangleBQC=x^(@) , then find the value of x.

In the adjoining figure , the diagonals of the cyxlic quadrilateral PQRS intersect each other at the point X in such a way that anglePRS=65^(@) andangleROS=45^(@) . Find the values of angleSQP and angleRSP .

Two circles intersect each other at point P an Q. If PA and PB are two diameter then find angleAQB .

Two tangents drawn at the point A and B on a circle intersect each other at the point P. If angle APB=60^(@), then anglePAB=

In the given figure two circles touch each other at the point C. Prove that the common tangent at P and Q.

In the figure, two chords AB and CD intersect each other at the point P. Prove that : AP. PB = CP. DP