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 figure, two circles intersect each other at points S and R. Their common tangent PQ touches the circle at points P,Q. Prove that, /_PRQ+/_PSQ=180^(@) .

In the fig. two circles intersect each other in point A and B. Secants through the point A intersect the circles in point P,Q and R,S. Line PR and SQ intersect in T. (i) PTQ and PBQ are supplementary. (ii) square BSTR is cyclic quadrilateral.

In the figure, two circles intersect each other at points A and B . C is a point on the smaller circle. Secant CA and secant CB of the smaller circle intersect the bigger circle at points D and E respectively then prove : seg DE || line CF

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.

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

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.

As per the figure, two circles intersect each other at points P and Q. Point A is on PQ produced and AMD and ASR are the secants to the circles. If AM = 3, MD = 5, AS = 4, The value of SR is :

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 intersect each other at point P and Q. Secants drawn through p and Q intersect the circles at points A,B and D,C Prove that : /_ ADC + /_ BCD = 180^(@)

In the figure, two circles intersect at points M and N. Secants drawn through M and N intersect the circles at points R,S and P,Q respectively. Prove that : seg SQ || seg RP.