CUET Mathematics - If the interval in which the function f(x) = x/x^2+1 is strictly increasing is (-a, a), then a is equal to | PYQs + Solutions

CUET Mathematics 2025 16 May Shift 1

Calculus

Medium

core

✅ Correct Option: 1

Related questions:

30 May Shift 2

A spherical ice ball is melting at the rate of 100 $\pi$ cm³/min. The rate at which its radius is decreasing when its radius is 15 cm, is

14 May Shift 2

Which of the following are NOT correct regarding the equation of tangent and normal to the curve $y = \frac{x-11}{(x-2)(x-3)}$ at the point, where it cuts the $x$ -axis?

(A) The point of contact is (11, 0).

(B) The equation of tangent is $y - 72y - 11 = 0$

(D) The slope of the tangent at the given point of contact is $\frac{1}{88}$

Choose the correct answer from the options given below:

14 May Shift 2

The function $f(x) = kx^3 + 6kx^2 + 18x + 17$ is increasing on $\mathbb{R}$ (set of real numbers) if:

CUET Mathematics 2025 16 May Shift 1 PYQs

Keyboard Shortcuts