A semi-circle has been drawn on AB as a ...

A semi-circle has been drawn on AB as a diameter and two chords `AL and BM` have been draw there in which intersect each other a P. Prove that `AB^2=AL-AP+ BM-BP`.

Similar Questions

Explore conceptually related problems

Two equal chords AB and CD of a circle with centre O, intersect each other at E. Prove that AD = CB

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

In the figure, two equal chords AB and CD of a circle with centre O, intersect each other at E, Prove that AD=CB

In the figure,two equal chords AB and CD of a circle with centre O ,intersect each other at E , Prove that AD=CB

In two chords AB and CD intersect each AB and CD intersect each other at the point P. Prove that Delta APC ~ Delta DPB

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

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

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

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

In Fig . two chords AB and CD intersect each other at the point P. prove that : DeltaAPC~DeltaDPB