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 adjoining figure, two circles intersect each other in point R and point S. Line PQ is a common tangent touching circle at points P and Q. Prove that /_PRQ+/_PSQ=180^@

In the adjoining figure, two circles intersect each other at point M and N. Secants drawn from point M and N intersect cirlces at point R, S, P and Q as shown in the figure. Prove that seg PR || seg QS

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

In the adjoining 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.

In the adjoining figure,the circles with centre A and B touch each other at E Line l is a common tangent that touches the circle at C and D respectively.Find length of seg CD if the radii of the circles are 4 cm,6 cm?

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 , O is the center of the circle. From point R, seg RM and seg RN are tangent segments touching the circle at M and N. If OR = 10cm and radius of the circle = 5 cm, then (i) What is the length of each tanget segment ? (iii) What is the measure of /_MRO ? (iii) Whatis the measure of /_ MRN ?

In the adjoining figure.circles with centres X,Y touch each other at Z.A secant passing through Z meets the circles at A and B respectively.Prove that, radius XA||radius YB .Fill in the blanks and complete the proof.

In the adjoining figure,the circles with centres P and Q touch eahc other at R.A line passing through R meets the circles A and B respectively then,Prove that (i) Seg AP||seg BQ

Two circles touch each other externally at P . A B is a common tangent to the circle touching them at A and B . The value of /_A P B is