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Q.

In the given figure, PQ is a line segment, PQ=10 cm. L is a perpendicular bisector passing through PQ at M. Find the value of MQ.

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a

3 cm

b

4 cm

c

5 cm

d

6 cm

answer is C.

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Detailed Solution

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A perpendicular bisector always divides a line segment through its midpoint. The term bisect itself means dividing equally or uniformly.

Given, PQ =10 cm and LM is a perpendicular bisector.

MQ=12PQ

=12×10

=5 cm

Therefore, the value of MQ=5 cm.

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