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📐 Mathematics  ·  Relations and Functions  ·  JEE

A function f: A to B is bijective if and only if:

Answer: f is both one-one and onto.

  • A f is one-one, but not necessarily onto
  • B f is onto, but not necessarily one-one
  • C f is both one-one and onto
  • D f has an inverse defined somewhere in B

Correct answer: C. f is both one-one and onto

Explanation: Bijective = injective + surjective (one-one AND onto). Only then does an inverse function exist.

Concept context

Ordered pairs, Cartesian products, types of relations and functions, domain and range. Foundation for calculus and Class 12 algebra.

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