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Q.

If α and β(a<β) are the roots of the equation x2+bx+c=0 , where c<0

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a

0<α<β

b

α<0<β<|α|

c

α<β<0

d

α<0<|α|<β

answer is B.

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Detailed Solution

∵ α+β=−b,αβ=c …..(i) ∵ c<0⇒αβ<0 Let α<0,β>0 (∴|α|=−α) (∵α<β) ⇒ α<0<β ……..(ii)From Eq. (i), −|α|+β<0⇒β<|α| ……..(iii)From Eq. (ii) and (iii), we get α<0<β<|α| .

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