Consider the function, \( f(x)=|x-2|+|x-5|, x \in R \). Statement-1...

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