CUET Mathematics - The simplified form of ^-1( x/1+ x), -/2 < x < /2 is | PYQs + Solutions

CUET Mathematics 2025 30 May Shift 2

Geometry

Medium

core

$\frac{\pi}{4} + \frac{x}{2}$

$\frac{\pi}{4} - \frac{x}{2}$

$\frac{\pi}{2} + x$

$\frac{\pi}{4} + x$

✅ Correct Option: 2

Related questions:

30 May Shift 1

Consider $f(x) = \sin(3x) + 4, \forall x \in \mathbb{R}$ . Then

(A) Maximum value of $f(x)$ is 5

(B) Minimum value of $f(x)$ is 3

(D) Minimum value of $f(x)$ is attained at $x = 0$

Choose the correct answer from the options given below:

16 May Shift 1

Match List-I with List-II

List-I	List-II
Inverse Trigonometric function	Principal values of arguments
(A) $sin^{-1}\left(\frac{-1}{2}\right)$	(I) $\frac{-\pi}{3}$
(B) $cos^{-1}\left(\frac{-1}{2}\right)$	(II) $\frac{3\pi}{4}$
(C) $tan^{-1}(-\sqrt{3})$	(III) $\frac{-\pi}{6}$
(D) $sec^{-1}(-\sqrt{2})$	(IV) $\frac{2\pi}{3}$

Choose the correct answer from the options given below:

19 May Shift 1

The maximum value of $\sin x \cdot \cos x$ is:

CUET Mathematics 2025 30 May Shift 2 PYQs