CUET CUET Mathematics 2024 - Let [x] denote the greatest integer function. Then match List-I with List-II:</p> <table class="question-table"> <thead> <tr> <th>List-I</th> <th>List-II</th> </tr> </thead> <tbody> <tr> <td>(A) |x - 1| + |x - 2| </td> <td>(I) is differentiable everywhere except at x = 0 </td> </tr> <tr> <td>(B) x - |x| </td> <td>(II) is continuous everywhere</td> </tr> <tr> <td>(C) x - [x] </td> <td>(III) is not differentiable at x = 1 </td> </tr> <tr> <td>(D) x |x| </td> <td>(IV) is differentiable at x = 1 </td> </tr> </tbody> </table> | PYQs + Solutions

CUET Mathematics 2024

Calculus

Continuity & Differentiability

Medium

Let $[x]$ denote the greatest integer function. Then match List-I with List-II:
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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 $x = 1$

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 $x = 1$

(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 Option: 3

Will be added.