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Question
From given information, is PQ || BC?

AP = 2, PB = 4, AQ = 3, QC = 6
Sum
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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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