In the figure, two circles with centers O and P intersect each other at points D and C. Line AB intersects the circle with centre O at points A and B and touches the circle with centre P at point E. Prove `/_ADE+/_BCE=180^(@)`.

In the given figure, two circles with their respective centres intersect each other at A and B and AB intersects OO at M, then m angleOMA is:

The congruent circles with centres Oand O' intersect at two points A and B. Then, angleAOB=angleAO'B .

Two circles intersect each other at the points P and Q. Two straight lines through P and Q intersect one circle at the points A and C and the other circle at B and D. Prove the AC|| BD

In the figure, two circles intersect each other in points P and Q. If tangent from point R touch the circles at S and T, then prove that RS=RT.

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.

. In the given figure, two equal circles, with centres O and O', touch each other at X. OO' produced me the circle with centre O' at A. AC is tangent to the circle with centreO, at the point C. O'D is perpendicular to AC. Find the value of (DO')/(CO).

In the figure, ray PT touches the circle at point T and line PAB is secent intersecting the circle at points A and B, then

In the above figure,the circles with centres P,Q and R intersect at point B,C,D and E as shown. Lines CB and ED intersect in point M. Lines drawn from point M touch the circles at points A and F. Prove that MA = MF.

In figure, two circles intersect each other at points A and E. Their common secant through E intersects the circles at points B and D. The tangents of the circles at points B and D intersect each other at point C. Prove that square ABCD is cyclic.