Ap Eapcet
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
