Two circles intersect at two points A and B . AD and AC are diameters to the two circles .Prove that B lies on the line segment DC.

Two circles intersect at two points A and B. AD and AC are diameters to the two circles ( see Fig.10.34 ).Prove that B lies on the line segment DC.

In the figure, two circles intersect each other at points A and B. AP and AQ are the diameters of these circels. Prove that PBQ is a straight line.

Two circle intersect in A and B and AC and AD are respectively the diameters of the circles.Prove that C,B,D are collinear.

Two line segments may intersect at two points

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

Two circles intersect at two points P and S.QR is a tangent to the two circles at Q and R. If /_QSR=72^(@), then /_QPR=.

Two circles with centres A and B of radii 3 cm and 4 cm respectively intersect at two points C and D, such that AC and BC are tangents to the two circle. Find the length of the common chord CD.

Two congruent circles intersect each other at points A and B .Through A any line segment PAQ is drawn so that P,Q lie on the two circles.Prove that BP=BQ