If f(x) = 27x^3 + 1 x^3 and , are the roots of 3x + 1 x = 2 then

JEE Advanced Mathematics question

If and are the roots of then

Answer: (A),(C)

Use with and . Then and , so

f(α)=(3α+1α-3·3α·1α(3α+1α)=-9

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Question ID VK-109193