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Mathematics · JEE | RELATIONS AND FUNCTIONS

हिन्दी

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:

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:

  1. A
    A-(III), B-(I), C-(II), D-(IV)
  2. B
    A-(I), B-(II), C-(III), D-(IV)
  3. C
    A-(II), B-(III), C-(I), D-(IV)
  4. D
    A-(IV), B-(II), C-(III), D-(I)
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.
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