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

A constant function f(x) = c on a set with more than one element is:

Answer: Not one-one.

  • A Bijective
  • B An equivalence relation
  • C Not one-one
  • D One-one but not onto

Correct answer: C. Not one-one

Explanation: Every input maps to the same output, so distinct inputs share an image and injectivity fails.

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 →