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 :

1
(A) - (I), (B) - (II), (C) - (III), (D) - (IV)
2
(A) - (I), (B) - (III), (C) - (II), (D) - (IV)
3
(A) - (II), (B) - (I), (C) - (III), (D) - (IV)
4
(A) - (II), (B) - (IV), (C) - (III), (D) - (I) 

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