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Question

The value of c for which |α2β2|=74 , where α and β are the roots of 2x2+7x+c=0 , is


A

6

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B

2

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C

4

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D

0

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Solution

The correct option is A

6


We have α+β=72 and αβ=c2

|α2β2|=74α2β2=±74(α+β)(αβ)=±74724942c=±74498c=1498c=1c=6


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