In the following [x] denotes the greatest integer less than or equal to x. Column I Column II (A) |x| (P) continuous in (−1, 1). (B) \sqrt{|x|} (Q) differentiable in (−1, 1). (C) x+[x] (R) strictly increasing in (−1, 1). (D) |x - 1| + |x + 1| (S) not differentiable at least at one point in (−1, 1). [JEE Adv 2007 P1]

Correct Answer is : (A)→(P), (Q), (R); (B)→(R), (S); (C)→(R), (S); (D)→(P), (Q)

(A)→(P), (Q), (R); (B)→(R), (S); (C)→(R); (D)→(P), (Q)

(A)→(P), (Q), (R); (B)→(R), (S); (C)→(Q), (S); (D)→(P), (Q)

(A)→(P), (Q), (R); (B)→(R), (S); (C)→(R), (S); (D)→(P), (Q)

IIT JEE Advanced 2007 Paper 1

Section: Mathematics

Question : 65 of 66

Marks: +1, -0

In the following [x] denotes the greatest integer less than or equal to x.

Column I	Column II
(A) \|x\|	(P) continuous in (−1, 1).
(B) √\|x\|	(Q) differentiable in (−1, 1).
(C) x+[x]	(R) strictly increasing in (−1, 1).
(D) \|x - 1\| + \|x + 1\|	(S) not differentiable at least at one point in (−1, 1).

[JEE Adv 2007 P1]

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