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Question

There is a quadrilateral PLAY with PL=3cm, LA=4cm, AY= 4.5 cm, PY = 2cm. Which of the following values of LY is not possible ?


A

2

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B

3

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C

6

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D

None of these

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Solution

The correct option is C

6


Since one side of a triangle cannot be greater than sum of other 2 sides, diagonal LY must be smaller than sum PL + PY and smaller than the sum AL + AY. PL + PY =5 and AL + AY = 8.5. Hence LY must be lesser than 5. The option with 6 is correct option.


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