Problem

Problem

Let a,b,c,p,qa, b, c, p, q be real numbers. Suppose α,β\alpha, \beta are roots of the equation x2+2px+q=0x^2 + 2px + q = 0 and α,1β\alpha, \frac{1}{\beta} are the roots of the equation ax2+2bx+c=0ax^2 + 2bx + c = 0 , where β2∉{−1,0,1}\beta^2 \notin \{-1, 0, 1\} . Statement-1 (p2−q)(b2−ac)≥0(p^2 - q)(b^2 - ac) \ge 0 and Statement-2 b≠pab \neq pa or c≠qac \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

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