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Question

In the given figure, ABDC, BO = 6 cm and DO = 8 cm; find BP×DO


A

42 cm2

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B

46 cm2

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C

48 cm2

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D

52 cm2

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Solution

The correct option is C

48 cm2


In the given figure,

ABDC,

BO = 6 cm, DO = 8 cm

In ΔODQ and ΔOPB

DOQ=POB (Vertically opposite angles)

DQO=OPB (Alternate angles)

ΔODQΔOPB

DQPB=QOOP=DOOB

8PB=DO6

By cross multiplication,

PB×DO=8×6=48 cm2


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