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

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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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Chapter 1: Similarity - Q.2 (B)
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