If the ratio of roots of $ax^2+bx+c = 0\space$and $px^2+qx+r = 0\space$is same. How to find ratio of their discriminants?
I don't understand this problem,what exactly is meant by ratio of the roots being same?
Let, $\alpha, \beta$ and $\gamma,\delta$ are the roots of the two equations respectively,does this problem says that $\frac{\alpha}{\beta} = \frac{\gamma}{\delta}=k$, where $k \in \mathbb{Q}$?
Even so I am not really much ideas how to continue without messing with tedious algebraic manipulation,again,considering this problem is of quantitative aptitude category,it may not be the right approach.Any ideas?