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📐 Mathematics  ·  Relations and Functions (Class 12)  ·  JEE

The identity function on a set A is defined by:

Answer: I(x) = x for all x ∈ A.

  • A I(x) = −x for all x ∈ A
  • B I(x) = x for all x ∈ A
  • C I(x) = 0 for all x ∈ A
  • D I(x) = 1 for all x ∈ A

Correct answer: B. I(x) = x for all x ∈ A

Explanation: The identity map leaves every element unchanged.

Concept context

Types of relations, equivalence classes, one-one and onto functions, composition, and invertible functions

Read the full Relations and Functions (Class 12) notes →