Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

Match List I with List II.

List – I

List – II

 (A)

 The range of tan-1x is  

 (I)

 $\left[\frac{-\pi}{2}, \frac{\pi}{2}\right] - \{0\}$ 

 (B)

 The range of sin-1x is  

 (II)

 $\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$

 (C)

 The range of cosec-1x is 

 (III)

 $[0, \pi] - \{\frac{-\pi}{2}\}$

 (D)

 The range of sec-1x is  

 (IV)

 $\left[\frac{-\pi}{2}, \frac{\pi}{2}\right]$

Choose the correct answer from the options given below :

Options:

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

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

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

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

Correct Answer:

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

Explanation:

The correct answer is Option (4) → A-II, B-IV, C-I, D-III

The range of tan-1x is    →   II.    $\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$

The range of sin-1x is    →   IV.    $\left[\frac{-\pi}{2}, \frac{\pi}{2}\right]$

The range of cosec-1x is    →   I.    $\left[\frac{-\pi}{2}, \frac{\pi}{2}\right] - \{0\}$

The range of sec-1x is    →   III.    $[0, \pi] - \{\frac{-\pi}{2}\}$

The correct sequence is A-II, B-IV, C-I, D-III.