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

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KCET 2025 Math Paper

Question : 44

Total: 60

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
−x2	x<0

√x	‌	x≥0
√−x	‌	x<0