JEE Main 2019MathematicsContinuity and DifferentiabilityMediumMCQ

JEE Main 2019Continuity and Differentiability Question with Solution

JEE Main 2019 (12 Jan Shift 1)

Question

Let S be the set of all points in -π,π at which the function, fx=minsinx, cosx is not differentiable. Then S is a subset of which of the following?

Choose an option

Show full solutionCorrect option: B
Correct answer
B-3π4,-π4,3π4,π4

Step-by-step explanation

 Sharp points are at -3π4 and π4.

Set of non-differentiable points of function are -3π4,π4 which is a subset of -3π4,-π4, 3π4, π4.

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About this question

This is a previous-year question from JEE Main 2019, covering the Continuity and Differentiability chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.