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Step-by-step explanation:
4.
Given, DE//AC and DC//AP.
In △ABC, since DE//AC, by thales theorem
BE/EC = BD/AD - (i)
Also, In △ABP, since DC//AP, by thales theorem
BC/CP = BD/AD - (ii)
From (i) and (ii),
BE/EC = BC/CP.
Q.E.D
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