If \alpha, \beta are the roots of the equation x^2-(5+3^\sqrt{\log _3 5}-5^\sqrt{\log _5 3})+3(3^{(\log _3 5)^{\frac{1}{3}}}-5^{(\log _5 3)^{\frac{2}{3}}}-1)=0 then the equation, whose roots are \alpha+\frac{1}{\beta} and \beta+\frac{1}{\alpha}, is : [27-Jul-2022-Shift-2]

Correct Answer is : 3x2−10x−4=0

JEE Mains 27-July-2022 Shift 2 Solved Paper

Section: Mathematics

Question : 3 of 90

Marks: +1, -0

If α,β are the roots of the equation x2−(5+3√log35−5√log53)+3(3(log35)‌

−5(log53)‌

−1)=0
then the equation, whose roots are α+‌

and β+‌

, is :

[27-Jul-2022-Shift-2]

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