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Q.

If α, β, γ  are the roots of x3+2x2−4x−3=0  then the equation whose roots  are α3 , β3 ,γ3  is

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a

x3+6x2−36x−81=0

b

9x3+6x2−4x−1=0

c

9x3+6x2+4x+1=0

d

x3−6x2+36x+81=0

answer is B.

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Detailed Solution

f(3x)=0 ⇒9x3+6x2−4x−1=0
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If α, β, γ  are the roots of x3+2x2−4x−3=0  then the equation whose roots  are α3 , β3 ,γ3  is