In Figure, two chords AB and CD intersect each other at the point P. Prove that: (i) `DeltaA P C DeltaD P B` (ii) `A P""dot""P B=""C P""dot""D P`

In Figure, two chords AB and CD intersect each other at the point P. Prove that: (i) DeltaA P C~ DeltaD P B (ii) A P*P B=C P*D P

In the figure, two chords AB and CD intersect each other at the point P. Prove that : DeltaAPC ~ DeltaDPB

In the figure, two chords AB and CD intersect each other at the point P. Prove that : AP. PB = CP. DP

In Figure altitudes AD and CE of DABC intersect each other at the point P. Show that:(i) DeltaA E P~ DeltaC D P (ii) DeltaA B D ~DeltaC B E (iii) DeltaA E P~ DeltaA D B (iv) DeltaP D C ~DeltaB E C

In a cricle, two chords AB and CD intersect at a point P inside the circle. Prove that (a) Delta PAC~ Delta PDB" " (b) PA*PB=PC*PD .

In Figure two chords AB and CD of a circle intersect each other at the point P (when produced) outside the circle. Prove that (i) DeltaP A C DeltaP D B (ii) P AdotP B=P CdotP D

In trapezium AC and BD intersect each other at point P. Then prove that (A(DeltaABP))/(A(DeltaCPD)) = (AB^2)/(CD^2) .

In Figure,AB and CD are two chords of a circle,intersecting each other at P such that AP=CP. show that AB=CD

In the figure, two chords AB and CD are parallel to each other. P is the centre of the circle. Show that /_ CPA ~= /_ DPB .