🛠️ JEE➗ Maths

Let \(\lambda \neq 0\) be a real number. Let \(\alpha, \beta\) be the roots of the equation \(14 x^2-31 x+3 \lambda=0\) …

Q1

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:

a

\(7{x}^{2}+245x-250=0\)

b

\(7{x}^{2}-245x+250=0\)

c

\(49{x}^{2}-245x+250=0\)

d

\(49{x}^{2}+245x+250=0\)

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