The set of all points of continuity of f(x) where f is given by Column –IColumn –II(i) [x] + [A] ±, n ∈ I+ ∪ 0(ii) [x] + [–x][B] (0, ∞)(iii) cos log x[C] R – I(iv) x2 + [x2][D] R

The set of all points of continuity of f(x) where f is give…

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

Published on: August 14, 2026

The set of all points of continuity of f(x) where f is given by

Correct Matrix Matching

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The correct answer is:

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

Ans.

(i) [D]

(ii) [C]

(iii) [B]

(iv) [A]

Sol. Graph of [x] +

continuous x ∈ R

[x] + [–x] discontinuou at

Integer

cosine function is continuous in x ∈ R but function is defined in x > 0 so given function continuous in (0, ∞ )

continuous + Discontinuous = discontinous function so [x 2 ] is discontinuous at x = ± , n ∈ I + ∪ {0}

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