Jee Advanced
Limits Continuity And Differentiability
IIT-JEE 2007 Paper 1 Offline
In the following [x] denotes the greatest integer less than or equal to x.
Match the functions in Column I with the properties Column II.
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| Column I | Column II | ||
|---|---|---|---|
| (A) | \(x|x|\) | (P) | continuous in (\(-1,1\)). |
| (B) | \(\sqrt{|x|}\) | (Q) | differentiable in (\(-1,1\)) |
| (C) | \(x+[x]\) | (R) | strictly increasing in (\(-1,1\)) |
| (D) | \(|x-1|+|x+1|\) | (S) | not differentiable at least at one point in (\(-1,1\)) |