Question 11

Let a, b, c, p, q be real numbers. Suppose $$\alpha, \beta$$ are the roots of the equation $$x^2 + 2px + q = 0$$ and $$\alpha, \frac{1}{\beta}$$ are the roots of the equation $$ax^2 + 2bx + c = 0$$, where $$\beta^2 \notin \left\{-1, 0, 1\right\}$$.
STATEMENT-1 : $$\left(p^2 - q\right)\left(b^2 - ac\right)\geq 0$$
and
STATEMENT-2 : $$b \neq pa$$ or $$c \neq qa$$

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