If ^-1 x + ^-1 y = 2/3, then the value of ^-1 x + ^-1 y is : Option 1: /2 Option 2: /3 Option 3: 2/3 Option 4: /6

The answer is '/3'. View full solution:

CUET Mathematics - If ^-1 x + ^-1 y = 2/3, then the value of ^-1 x + ^-1 y is : | PYQs + Solutions

CUET Mathematics 2023 30 May Shift 3

Geometry

Easy

$\frac{\pi}{2}$

$\frac{\pi}{3}$

$\frac{2\pi}{3}$

$\frac{\pi}{6}$

✅ Correct Option: 2

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for $|x| < 1$ , $sin (tan^{-1}x)$ equal to

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Match List I with List II

List I (Functions)	List II (Principal value branches)
A. $f(x) = \cos^{-1} x$	I. $[0, \pi]$
B. $f(x) = \tan^{-1} x$	II. $[0, \pi] - \left\{\frac{\pi}{2}\right\}$
C. $f(x) = \text{cosec}^{-1} x$	III. $\left[-\frac{\pi}{2}, \frac{\pi}{2}\right] - \{0\}$
D. $f(x) = \sec^{-1} x$	IV. $\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$

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Match List - I with List - II.

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