JEE Math Practice Question

Let $$\lambda \ne 0$$ be a real number. Let $$\alpha,\beta$$ be the roots of the equation $$14{x^2} - 31x + 3\lambda = 0$$ and $$\alpha,\gamma$$ be the roots of the equation $$35{x^2} - 53x + 4\lambda = 0$$. Then $${{3\alpha } \over \beta }$$ and $${{4\alpha } \over \gamma }$$ are the roots of the equation

1. A.$$7{x^2} - 245x + 250 = 0$$
2. B.$$49{x^2} - 245x + 250 = 0$$
3. C.$$49{x^2} + 245x + 250 = 0$$
4. D.$$7{x^2} + 245x - 250 = 0$$