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Q.

If α,β are the roots of x2+2x−1=0 , then the equation whose roots are α2, β2 is

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a

x2−6x + 1=0

b

x2+ 6x−1=0

c

x2+ 6x + 1= 0

d

x2+ 6x−2=0

answer is A.

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Detailed Solution

α+β=−2 , αβ=−1 ∴α2+β2=(α+β)2−2αβ=6 ,α2β2=(+1)Required equation is x2−6x+1=0

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