CUET Mathematics - The function f(x) = tanx - x | PYQs + Solutions

CUET Mathematics 2025 14 May Shift 1

Calculus

Medium

core

is a decreasing function on $\left[0,\frac{\pi}{2}\right)$

is an increasing function on $\left[0,\frac{\pi}{2}\right)$

is a constant function

is neither increasing nor decreasing function on $\left[0,\frac{\pi}{2}\right)$

✅ Correct Option: 2

Related questions:

CUET Mathematics 2024 Slot 1

If $f(x)=2\left(\tan ^{-1}\left(e^{x}\right)-\frac{\pi}{4}\right)$ , then $f(x)$ is :

29 May Shift 2

Let $f(x) = 4x^3 - 18x^2 + 27x - 5$ , $x \in R$ . Then which of the following statements are TRUE?

(A) $f''(x) = 24x - 36$

(B) f has local maxima at $x = \frac{3}{2}$ but no minima

(D) f has both maxima and minima

Choose the correct answer from the options given below:

14 May Shift 2

Consider the function $f(x) = \sin x$ in the interval $[\pi, 2\pi]$ then which of the following statements are correct?

(A) $x = \frac{3\pi}{2}$ is its stationary point.

(B) Its maximum value is 1

(D) It attains its maximum value at $\pi$ and $2\pi$

Choose the correct answer from the options given below:

CUET Mathematics 2025 14 May Shift 1 PYQs