Match the following Column-IFunction f(x)Column-IIInterval of decrease(i) cos [A]∪ (ii) [B] φ(iii) cot–1x + x[C] (iv) x2 – loge |x|[D] (0, 1) ∪ (1, e)

Match the following Column-IFunction f(x)Column-IIInterval …

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

Published on: August 12, 2026

Match the following

Column-I Function f(x)	Column-II Interval of decrease
(i) cos	[A]∪
(ii)	[B] φ
(iii) cot–1x + x	[C]
(iv) x2 – loge \|x\|	[D] (0, 1) ∪ (1, e)

Correct Matrix Matching

Verified by Experts

The correct answer is:

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

Ans.

(i) [C]

(ii) [D]

(iii) [B]

(iv) [A]

Sol. (i) f '(x) < 0 ⇒ sin < 0

(2k + 1) π < < (2k + 2) π

x s ∈

(ii) f '(x) < 0 if x < e ⇒ x ∈ (0, 1) ∪ (1, e)

(iii) f '(x) ≥ 0, x ∈ R f '(x) < 0 for no value of x

(iv) f '(x) < 0 ⇒ 2x – < 0

< 0

x ∈ ∪

Previous Question Next Question

Get practice questions, solutions, and test series in one place.

Share your experience with this question and solution.

Send your comment, doubt, correction, or feedback to admin.

What students say about this solution

No reviews yet. Be the first to write a review.