JEE Mathematics Online Test Continuity and Differentiability Set B

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Question 1

Question

Statement 1 : Sum of left hand derivative and right hand derivative of f (x) = | x2 – 5x + 6 | at x = 2 is equal to zero.

Statement 2 : Sum of left hand derivative and right hand derivative of f (x) = | (x – a) (x – b) | at x = a (a < b) is equal to zero,

Answer
Statement -1 is False, Statement-2 is True.
Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
Statement -1 is True, Statement-2 is False.