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प्रश्न
In the following figure, DE || AC and DC || AP. Prove that `"BE"/"EC" = "BC"/"CP"`
सिद्धांत
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उत्तर
In ΔABP,
DC || AP ...(Given)
∴ `"BD"/"DA" = "BC"/"CP"` (From BPT) ...(i)
In ΔABC,
DE || AC ...(Given)
∴ `"BD"/"DA" = "BE"/"EC"` (From BPT) ...(ii)
From equations (i) and (ii), we have
`"BE"/"EC" = "BC"/"CP"`
Hence Proved.
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