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Limits Continuity And Differentiability

AP EAPCET 2025 - 21st May Morning Shift

MCQ+1 / -02025

Match the functions in Column I with their properties in Column II. In the following [ $x$ ] denotes the greatest integer less than or equal to $x$.


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Column I Column II
A \(
x|x|
\)
I Strictly increasing and continuous in $(-1,1)$
B \(
\sqrt{|x|}
\)
II Continuous but not differentiable in $(-1,1)$
C \(
x+[x]
\)
III Differentiable in $(-1,1)$
D \(
|x-1|+|x+1|+|x|
\)
IV Differentiable in $(-1,0) \cup(0,1)$
V Strictly increasing and not differentiable in $(-1,1)$

The correct match is

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