STATEMENT-1 : e π is bigger than π e . STATEMENT-2 : f(x) =…

Maths Differentiation and Applications of Derivatives Maxima and Minima Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 12, 2026

STATEMENT-1 : e π is bigger than π e .

STATEMENT-2 : f(x) = x 1/x is a increasing function when x ∈ [e, ∞ )

Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.

Statement-1 is True,Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1

Statement-1 is True, Statement-2 is False

Statement-1 is False, Statement-2 is True (E) Statement-1 is False, Statement-2 is False

Text Solution

Verified by Experts

The correct answer is:

f ′ (x) = (1 – λ nx)

f ′ (x) ≤ 0, when x ≥ e

∴ f(x) is decreasing function, when x ≥ e

π > e ⇒ f( π ) < f(e)

π 1/ π < e 1/e ⇒ e π > π e

∴ Statement-1 is True, Statement-2 is False

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.