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JEE Main 2024 Mathematics question

MathematicsContinuity and DifferentiabilityJEE Main 2024

Let f : R → R be define as: . If f is continuous every where in R and m is the number of points where f is NOT differential then m + a + b + c equal:

Answer: (B)

Solution

Continuity at 0 needs a = b and 2b = 2, so a = b = 1; at x = 1, 3 + c = 3

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Question ID VK-011295