Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

Match List - I with List - II.

 List - I 
 Functions 
 List - II 
 Range 
 (A)   cosec-1  (I)   $(0, \pi)$
 (B)  sec-1  (II)   $\left[-\frac{\pi}{2}, \frac{\pi}{2}\right] - 0$ 
 (C)  tan-1  (III)   $\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$ 
 (D)  cot-1  (IV)  $[0 - \pi] - \{\frac{\pi}{2}\}$ 

Choose the correct answer from the options given below: 

Options:

(A)-(IV), (B)-(I), (C)-(II), (D)-(III)

(A)-(III), (B)-(I), (C)-(IV), (D)-(II)

(A)-(II), (B)-(IV), (C)-(III), (D)-(I)

(A)-(I), (B)-(II), (C)-(III), (D)-(IV)

Correct Answer:

(A)-(II), (B)-(IV), (C)-(III), (D)-(I)

Explanation:
 Functions   Respective Range 
 (A)   cosec-1x        $\left[-\frac{\pi}{2}, \frac{\pi}{2}\right] - 0$    →    (II) 
 (B)  sec-1  $[0 - \pi] - \{\frac{\pi}{2}\}$    →    (IV)
 (C)  tan-1  $\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$    →    (III) 
 (D)  cot-1  $(0, \pi)$     →    (I)