Match the column. Column –IColumn –II(i) f(x) = ||x – 1| – 1| is not differentiable at[A] 0(ii) f(x) = |x2 –3x+2| (x2 –1) is not differentiable at[B] -1(iii) f(x) = Min {x, x2} is not differentiable at [C] 1(iv) f(x) = Max {1–x,1 + x,2} is not differentiable at[D] 2

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Maths Functions, Limits, Continuity and Differentiability General Matrix Match Questions

Published on: August 13, 2026

Match the column.

Column –I	Column –II
(i) f(x) = \|\|x – 1\| – 1\| is not differentiable at	[A] 0
(ii) f(x) = \|x2 –3x+2\| (x2 –1) is not differentiable at	[B] -1
(iii) f(x) = Min {x, x2} is not differentiable at	[C] 1
(iv) f(x) = Max {1–x,1 + x,2} is not differentiable at	[D] 2

Correct Matrix Matching

Verified by Experts

The correct answer is:

(i) [A]; (ii) [D]; (iii) [A]; (iv) [B]

Ans.

(i) [A],[C],[D]

(ii) [D]

(iii) [A]

(iv) [B],[C]

Sol.

y = |x – 1| –1 ⇒

not differentiable at x = 0 , 2, 1

f(x)=(x + 1) (x–1) |(x–1) (x – 2)|

not differentiable at x = 2

Max {x, x 3 }

not differentiable at x = – 1 , 0 , 1

Max {1 – x, 1 + x, 2}

not differentiable at x = –1 & x =1

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