Consider the function,

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 $f(2)=f(5)$.

  1. Statement-1 is true, Statement-2 is false.

  2. Statement-1 is false, Statement-2 is true.

  3. Statement-1 is true, Statement-2 is true ; Statement-2 is a correct explanation for Statement $1 .$

  4. Statement-1 is true, Statement-2 is true ; Statement-2 is not a correct explanation for Statementl.


Correct Option: , 4

Solution:

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