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Q.

If α,β,γ,δ be the roots (where  α,β  are real andγ,δ are imaginary) of x43x32x2+3x+1=0 then match the following 

List – I

List - II

 

1) α+βp) -1
2) γ+δq) 3
3) γδ+αβr) 0
4) α3+β3+γ3+δ3s) 36
 T) -2

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a

1P,2R,3S,4Q

b

1R,2Q,3T,4S

c

1R,2S,3Q,4P

d

1S,2P,3Q,4T

answer is B.

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Detailed Solution

x23x2+3x+1x2=0(x2+1x2)3(x1x)2=0(x1x)23(x1x)=0

x1x=0x=±1α+β=0      x1x=3γ+δ=3γδ=1

α3+β3+γ3+δ3=36

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If α, β, γ, δ be the roots (where  α, β  are real andγ,δ are imaginary) of x4−3x3−2x2+3x+1=0 then match the following List – IList - II 1) α+βp) -12) γ+δq) 33) γδ+αβr) 04) α3+β3+γ3+δ3s) 36 T) -2