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Limits Continuity and Differentiability question

2012 · Shift 0 · Q26

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PYQ Library
JEE Main
Mathematics
Limits Continuity and Differentiability
2012 · Shift 0 · Q26

Limits Continuity and Differentiability question

2012 · Shift 0 · Q26

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

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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