Question

Let $λ ≠ 0$ be a real number. Let α, β be the roots of the equation $14x^2 – 31x + 3λ = 0$ and α, γ be the roots of the equation $35x^2 – 53x + 4λ = 0$. Then $\frac{3\alpha}{\beta}$ and $\frac{4\alpha}{\lambda}$ are the roots of the equation

• A. 7x2 + 245x – 250 = 0
• B. 49x2 + 245x + 250 = 0
• C. 7x2 – 245x + 250 = 0
• D. 49x2 – 245x + 250 = 0

Answer 1

Answer: (D)

49x2 – 245x + 250 = 0

Answer 2

The correct answer is 49x2 – 245x + 250 = 0