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📐 Mathematics  ·  Relations and Functions  ·  JEE

f: N to N defined by f(n) = n + 1 is:

Answer: Injective but not surjective.

  • A Bijective
  • B Injective but not surjective
  • C Surjective but not injective
  • D Neither

Correct answer: B. Injective but not surjective

Explanation: f is one-one (distinct inputs give distinct outputs). But 1 in N has no pre-image, so not surjective.

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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