Match List - I with List - II.
|
List - I |
List - II |
|
(A) Range of $y=cosec^{-1} x$ |
(I) $R-(-1,1)$ |
|
(B) Domain of $\sec ^{-1} x$ |
(II) $(0, \pi)$ |
|
(C) Domain of $\sin ^{-1} x$ |
(III) $[-1,1]$ |
|
(D) Range of $y=\cot ^{-1} x$ |
(IV) $\left[\frac{-\pi}{2}, \frac{\pi}{2}\right]-\{0\}$ |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) - (A)-(IV), (B)-(I), (C)-(III), (D)-(II)
$(A)\;\text{Range of } y=cosec^{-1}x \rightarrow [0,\pi]-\left\{\frac{\pi}{2}\right\} \Rightarrow (II).$
$(B)\;\text{Domain of } \sec^{-1}x \rightarrow \mathbb{R}-(-1,1) \Rightarrow (I).$
$(C)\;\text{Domain of } \sin^{-1}x \rightarrow [-1,1] \Rightarrow (III).$
$(D)\;\text{Range of } y=\cot^{-1}x \rightarrow (0,\pi) \Rightarrow (II).$
$\text{Correct matching: }(A)\!-\!(IV),\;(B)\!-\!(I),\;(C)\!-\!(III),\;(D)\!-\!(II).$