Let [x] denote the greatest integer func

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Continuity and Differentiability

Question:

Let [x] denote the greatest integer function. Then match List-I with List-II:

List-I	List-II
(A) $\|x-1\|+\|x-2\|$	(I) is differentiable everywhere except at x = 0
(B) $ x-\|x\|$	(II) is continuous everywhere
(C) $x-[x]$	(III) is not differentiable at x = 1
(D) $x\|x\|$	(IV) is differentiable at x = 1

Choose the correct answer from the options given below:

Options:

(A) - (I), (B) - (II), (C) - (III), (D) - (IV)

(A) - (I), (B) - (III), (C) - (II), (D) - (IV)

(A) - (II), (B) - (I), (C) - (III), (D) - (IV)

(A) - (II), (B) - (IV), (C) - (III), (D) - (I)

Correct Answer:

(A) - (II), (B) - (I), (C) - (III), (D) - (IV)

Explanation:

The correct answer is Option (3) → (A) - (II), (B) - (I), (C) - (III), (D) - (IV)