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Maharashtra State BoardSSC (English Medium) 10th Standard

From given information, is PQ || BC? AP = 2, PB = 4, AQ = 3, QC = 6

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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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Chapter 1: Similarity - Q.2 (B)
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