Question

The possible set of values of a for which one root of equation $x^2+2(a-1) x+a+5=0$ is smaller than 1 and other root is greater than 3 is

• A. $\left(\frac{-4}{3}, \frac{-8}{7}\right)$
• B. $\left(-\infty, \frac{-8}{7}\right)$
• C. $\left(-\infty, \frac{-4}{3}\right)$
• D. $\left(\frac{8}{7}, \infty\right)$

Answer 1

Answer: (C)

$f (1) < 0$ and $ f(3) < 0$
$a \in\left(-\infty, \frac{-4}{3}\right)$