CUET Mathematics - Let a ≤ ^-1 x + ^-1 x + ^-1 x ≤ b. If and denote the minimum and maximum possible values of a and b respectively, then : | PYQs + Solutions

CUET Mathematics 2023 30 May Shift 3

Geometry

Medium

$\alpha = 0, \beta = \pi$

$\alpha = 0, \beta = \frac{\pi}{2}$

$\alpha = \frac{\pi}{2}, \beta = \pi$

$\alpha = -\frac{\pi}{2}, \beta = \frac{\pi}{2}$

✅ Correct Option: 1

Related questions:

30 Aug Shift 1

$\sin^{-1}(1 - x) - 2\sin^{-1}x = \frac{\pi}{2}$ , than $x$ is equal to

(a) $0$

(b) $1$

(d) $2$

Choose the most appropriate answer from the options given below:

23 May Shift 3

The principal value of $\cot^{-1}\left(-\frac{1}{\sqrt{3}}\right)$

17 Aug Shift 2

Match List - I with List - II.

List - I	List - II
(A) $\tan^{-1}\sqrt{3} - \sec^{-1}(-2)$	(I) $\frac{3\pi}{4}$
(B) $\cot^{-1}\left(\frac{-1}{\sqrt{3}}\right)$	(II) $-\frac{\pi}{3}$
(C) $\cos^{-1}\left(-\frac{1}{\sqrt{2}}\right)$	(III) $\frac{\pi}{2}$
(D) $\cos^{-1}\left(\frac{1}{2}\right) + \sin^{-1}\left(\frac{1}{2}\right)$	(IV) $\frac{2\pi}{3}$

Choose the correct answer from the options given below :

CUET Mathematics 2023 30 May Shift 3 PYQs