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) {|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)

Question

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

Column - I	Column - II
(a) $x\|x\|$	(i) continuous in $(-1,1)$
(b) $\sqrt{\|x\|}$	(ii) differentiable in $(-1,1)$
(c) $x+\lfloor x \rfloor$	(iii) strictly increasing in $(-1,1)$
(d) $\|x-1\|+\|x+1\|$	(iv) not differentiable at, at least one point in $(-1,1)$

KCET 2025 Math Paper