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Q.

Statements - 1: Conditions of Lagrange’s mean value theorem fail in f(x)=|x1|(x1).
Statements - 2: |x1|is not differentiable at x = 1.

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a

If both the statements are TRUE and STATEMENT 2 is NOT the correct explanation of STATEMENT – 1

b

If STATEMENT - 1 is FALSE and STATEMENT 2 is TRUE

c

If STATEMENT - 1 is TRUE and STATEMENT 2 is FALSE

d

If both the statements are TRUE and STATEMENT 2 is the correct explanation of STATEMENT – 1.

answer is D.

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Detailed Solution

Through |x1| is non–differentiable at x=1(x1)|x1| is Differentiable at x=1, for which lagrange’s mean value theorem is applicable.

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