JEE Math Practice Question
Consider the function, $$f\left( x \right) = \left| {x - 2} \right| + \left| {x - 5} \right|,x \in R$$ Statement - 1 : $$f'\left( 4 \right) = 0$$ Statement - 2 : $$f$$ is continuous in [2, 5], differentiable in (2, 5) and $$f$$(2) = $$f$$(5)
- A.Statement - 1 is false, statement - 2 is true
- B.Statement - 1 is true, statement - 2 is true; statement - 2 is a correct explanation for statement - 1
- C.Statement - 1 is true, statement - 2 is true; statement - 2 is not a correct explanation for statement - 1
- D.Statement - 1 is true, statement - 2 is false
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