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.

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 .

Two circles intersect each other. Then the total number of common tangents that can be drawn to them is :

Why don't two magnetic field lines intersect each other ?

In the given figure, two circles with centres O and O' touch externally at a point A. A line through A is drawn to intersect these circles at B and C. Prove that the tangents at B and C are parallel.

In Fig. two chords AB and CD of a circle intersect each other at the point P (when produced) outside the circle. Prove that (i) Delta PAC ~ Delta PDB , (ii) PA . PB = PC . PD

The line segment joining any two points on the circumference of circle is :

In Fig. two chords AB and CD of a circle intersect each other at the point P ( when produced ) outside the circle prove that DeltaPAC~DeltaPDB