JEE Advanced Mathematics question

MathematicsContinuity and DifferentiabilityJEE Advanced

In the following denotes the greatest integer less than or equal to . Match the functions in **Column I** with the properties in **Column II**. Column I: (A) (B) (C) (D) Column II: (p) continuous in (q) differentiable in (r) strictly increasing in (s) not differentiable at least at one point in

Answer: (2)

Solution

(A) . Continuous. At : , , so differentiable everywhere, with vanishing only at → strictly increasing. **p, q, r**

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Question ID VK-110659