Chapter 14: Problem 11
Let \(a, b, c, p, q\) be real numbers. Suppose \(\alpha, \beta\) are the roots of the equation \(x^{2}+2 p x+q=0\) and \(\alpha, \frac{1}{\beta}\) are the roots of the equation \(a x^{2}+2 b x+c=0\), where \(\beta^{2} \notin\\{-1,0,1\\}\) STATEMENT-1: \(\quad\left(p^{2}-q\right)\left(b^{2}-a c\right) \geq 0\) and STATEMENT-2: \(b \neq p a\) or \(c \neq q a\) (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
Short Answer
Step by step solution
Key Concepts
These are the key concepts you need to understand to accurately answer the question.