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In Figure, two chords AB and CD interse...

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`

Text Solution

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(i) In the given figure,
`/_APC = /_DPB` --> as opposite angles between two lines are equal
`/_CAB = /_CDB` --> as angle subtended by an arc are always equal on any point of circle
It means, `/_CAP =/_PDB`
In `Delta APC` and `Delta DPB`
...
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