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If `alpha, beta `are the roots of the equation `x ^(2) + 5x+ 2=0,` then `((alpha )/(2 + 5 alpha ))^(2)+ ((beta)/(2 + 5 beta))^(2) =`

A

`(4)/(21)`

B

`(19)/(4)`

C

`(21)/(4)`

D

`(4)/(19)`

Text Solution

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The correct Answer is:
C
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