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Question

In the given figure, D is the mid-point of AB and PC=12AP=3 cm. If AD=DB=4 cm and DEBP, then AE=



A
4 cm
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B
8 cm
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C
3 cm
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D
5 cm
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Solution

The correct option is C 3 cm

Given∶ 12AP=3 cm
AP=6 cm
D is the mid-point and DEBP
E is the mid-point of AP  [Converse of mid-point theorem]
AE=12AP=12×6=3 cm
Hence, AE=3 cm


Mathematics

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