Match the entries of the column I with those of column II. Column –IColumn –II(i) If where{.} denotes the fractional part function, such that f(x) is continuous at x = 1. if k| = then k is.[A] 1(ii) If the function is continuous at x = 0, then f(0) is[B] 0(iii) , then the values of x at which f(x) is continuous[C] -1(iv) If f(x) = x + {–x} + [x], where [x] and {x} represents integral and fractional part of x, then the values of x at which f(x) is is continuous[D]

Match the entries of the column I with those of column II. …

Maths Functions, Limits, Continuity and Differentiability General Matrix Match Questions

Published on: August 13, 2026

Match the entries of the column I with those of column II.

Column –I	Column –II
(i) If where {.} denotes the fractional part function, such that f(x) is continuous at x = 1. if k\| = then k is.	[A] 1
(ii) If the function is continuous at x = 0, then f(0) is	[B] 0
(iii) , then the values of x at which f(x) is continuous	[C] -1
(iv) If f(x) = x + {–x} + [x], where [x] and {x} represents integral and fractional part of x, then the values of x at which f(x) is is continuous	[D]

Correct Matrix Matching

Verified by Experts

The correct answer is:

(i) [A]; (ii) [D]; (iii) [D]; (iv) [A]; (ii) (iii)

Ans.

(i) [A],[C]

(ii) [D]

(iii) [D]

(iv) [A],[B],[C]

Sol.

(i) 1,-1

(ii)

(iii)

(iv) 1,0,-1

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