Match List – I with List – II.
|
LIST I |
LIST II |
|
A. Range of $cosec^{-1} x$ |
I. $(0, \pi)$ |
|
B. Range of $\tan ^{-1} x$ |
III. $[0, \pi]-\left\{\frac{\pi}{2}\right\}$ |
|
C. Range of $\sec ^{-1} x$ |
III. $\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]-\{0\}$ |
|
D. Range of $\cot ^{-1} x$ |
IV. $\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$ |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → A-III, B-IV, C-II, D-I
|
LIST I |
LIST II |
|
A. Range of $cosec^{-1} x$ |
III. $\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]-\{0\}$ |
|
B. Range of $\tan ^{-1} x$ |
IV. $\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$ |
|
C. Range of $\sec ^{-1} x$ |
II. $[0, \pi]-\left\{\frac{\pi}{2}\right\}$ |
|
D. Range of $\cot ^{-1} x$ |
I. $(0, \pi)$ |