Let \lambda \neq 0 be a real number. Let \alpha, \beta be the roots of the equation 14 x^2-31 x+3 \lambda=0 and \alpha, \gamma be the roots of the equation 35 x^2-53 x+4 \lambda=0. Then \frac{3 \alpha}{\beta} and \frac{4 \alpha}{\gamma} are the roots of the equation : [29-Jan-2023 Shift 1]

Correct Answer is : 49x2−245x+250=0

JEE Mains 29-Jan-2023 Shift 1 Solved Paper

Section: Mathematics

Question : 64 of 90

Marks: +1, -0

Let λ≠0 be a real number. Let α,β be the roots of the equation 14x2−31x+3λ=0 and α,γ be the roots of the equation 35x2−53x+4λ=0. Then ‌

3α

and ‌

4α

are the roots of the equation :

[29-Jan-2023 Shift 1]

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