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 $$c \neq qa$$

A

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1

B

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1

C

STATEMENT-1 is True, STATEMENT-2 is False

D

STATEMENT-1 is False, STATEMENT-2 is True