Question: Consider the function,
$f(x)=|x-2|+|x-5|, x \in R$
Statement-1: $\mathrm{f}^{\prime}(4)=0$.
Statement-2 : $\mathrm{f}$ is continuous in $[2,5]$, differentiable in $(2,5)$ and $f(2)=f(5)$.
Statement-1 is true, Statement-2 is false.
Statement-1 is false, Statement-2 is true.
Statement-1 is true, Statement-2 is true ; Statement-2 is a correct explanation for Statement $1 .$
Statement-1 is true, Statement-2 is true ; Statement-2 is not a correct explanation for Statementl.
Correct Option: , 4
Solution: