Two circles have been drawn with centres A and B which touch each other externally at the point O. A straight line is drawn passing thrugh the point O and intersects the two circles at P and Q respectively. Prove that `AP ||BQ.`

Two circles with radii 5 cm and 8 cm touch each other externally at a point A. If a straight line through the point A cuts the circles at points P and Q respectively, then AP : AQ is

Two circles touch each other externally at point A and PQ is a direct common tangent which touches the circles at P and Q respectively. Then anglePAQ =

Two circles touch each other externally at point P.A common tangent AB is drawn touching the circles at A and B.Find /_APB .

The centre of two circle are P and Q they intersect at the points A and B. The straight line parallel to the line segment PQ through the point A intersects the two circles at the point C and D Prove that CD = 2PQ

In the figure, the circles with centers P and Q touch each other at R.A line passing through R meets the circles at A and B respectively. Prove that seg AP || seg BQ

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

Two circles intersect each other at the points G and H . A straight line is drawn through the point G which intersect two circles at the points P and Q and the straight line through the point H parallel to PQ intersects the two circles at the points R and S . Prove that PQ=RS .

Two circle intersect at two points B and C. Through B, Two lines segment ABD and PBQ are drawn to intersect the circles at A, D and P, Q respectively. Prove that ACP = QCD .