If \alpha and \beta are the roots of the equation 3x^{2}+2x+1=0 then equation whose roots are \alpha+\beta^{-1} and \beta+\alpha^{-1} is [NDA II 2017]

Correct Answer is : 3x2+8x+16=0

UPSC NDA 2 2017 Mathematics Solved Paper

Question : 24 of 120

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If α and β are the roots of the equation 3x2+2x+1=0 then equation whose roots are α+β−1 and β+α−1 is

[NDA II 2017]

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