Match the following: In the following, [ {\x}] denotes the greatest integer less than or equal to x . Column - I Column - II (a) x x| (i) continuous in (-1,1) (b) \sqrt{|x|} (ii) differentiable in (-1,1) (c) x+[x] (iii) strictly increasing in (-1,1) (d) |x-1|+|x+1| (iv) not differentiable at, at least one point in (-1,1)

Correct Answer is : a - ii, b - iv, c - iii, d - i

KCET 2025 Math Paper

Question : 44 of 60

Marks: +1, -0

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

Column - I	Column - II
(a) xx\|	(i) continuous in (−1,1)
(b) √\|x\|	(ii) differentiable in (−1,1)
(c) x+[x]	(iii) strictly increasing in (−1,1)
(d) \|x−1\|+\|x+1\|	(iv) not differentiable at, at least one point in (−1,1)

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x2	x≥0
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√−x	‌	x<0