Mathematics · JEE | RELATIONS AND FUNCTIONS
हिन्दीMatch List-I with List-II: List-I List-II A Modulus function \( f(x) = |x| \) on \( \mathbf{R} \) I Bijective function B Function \( f(x) = 3x \) on \( \mathbf{R} \) II Neither one-one nor onto C Identity function \( I_N(x) = x \) on \( \mathbf{N} \) III One-one and onto D Constant function \( f(x) = c \) IV Many-one and into Choose the correct answer from the options given below:
Match List-I with List-II:
| List-I | List-II | ||
|---|---|---|---|
| A | Modulus function \( f(x) = |x| \) on \( \mathbf{R} \) | I | Bijective function |
| B | Function \( f(x) = 3x \) on \( \mathbf{R} \) | II | Neither one-one nor onto |
| C | Identity function \( I_N(x) = x \) on \( \mathbf{N} \) | III | One-one and onto |
| D | Constant function \( f(x) = c \) | IV | Many-one and into |
Choose the correct answer from the options given below:
View Answer & Solution
Correct answer · Option C
A-(II), B-(III), C-(I), D-(IV)
Explanation
Modulus is neither one-one nor onto, linear \( 3x \) on \( \mathbf{R} \) is bijective, identity on \( \mathbf{N} \) is bijective, and constant function is many-one and into.