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Question
From given information, is PQ || BC?
AP = 2, PB = 4, AQ = 3, QC = 6
Sum
Solution
`"AP"/"PB" = 2/4 = 1/2` .....(i)[Given]
`"AQ"/"QC" = 3/6 = 1/2` .....(ii)
In ΔABC,
`"AP"/"PB" = "AQ"/"QC" = 1/2` ......[From (i) and (ii)]
∴ Line PQ || side BC .......[Converse of basic proportionality theorem]
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