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Question

In the given figure, QA and PB are perpendiculars to AB. If AO=10 cm, BO=6 cm and PB=9 cm, find AQ.

283079_374e73aec08246a18460283640200341.png

A
5 cm
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B
10 cm
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C
15 cm
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D
20 cm
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Solution

The correct option is B 15 cm
In AOQ and BOP, we have

OAQ=OBP (Each equal to 90)

AOQ=POB (Vertically opp. s)

By AA-similarity,

AOQBOP

AOBO=OQOP=AQBP

AOBO=AQ9=106AQ=10×96=15 cm

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