imo class 12 relations and functions

Teacher Anjali assigns a unique roll number to every student in her Class 12 batch. The function mapping a student to their roll number is:

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Teacher Anjali assigns a unique roll number to every student in her Class 12 batch. The function mapping a student to their roll number is:

  • A. Injective (One-one)
  • B. Surjective (Onto)
  • C. Constant
  • D. Many-one

Answer: A) Injective (One-one)

Explanation: Each student gets a distinct roll number, so f(x₁) = f(x₂) implies x₁ = x₂. Thus, the function is injective. It is not necessarily surjective if some roll numbers are left unassigned.

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