Question

Let $f(x)=\{\begin{array}{ll}{x}^2-2|x|+a,& x\le 1\\ 6+x,& x>1\end{array}$, then number of positive integral value(s) of ' $a$ ' for which $f(x)$ has local minima at $x=1$, is/are

• A. 6
• B. 7
• C. 8
• D. 9

Answer 1

Answer: (C)

$a-1\le 7$
$\Rightarrow a\le 8$