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Mathematics · JEE | RELATIONS AND FUNCTIONS

हिन्दी

Which of the following relations from \( \{1, 2, 3, 4\} \) to itself is a function?

  1. A
    \( \{(1, 1), (2, 2), (3, 3), (4, 4), (1, 4)\} \)
  2. B
    \( \{(1, 2), (2, 3), (2, 4), (3, 1)\} \)
  3. C
    \( \{(1, 2), (2, 3), (3, 4)\} \)
  4. D
    \( \{(1, 2), (2, 3), (3, 4), (4, 1)\} \)
View Answer & Solution

Correct answer · Option D

\( \{(1, 2), (2, 3), (3, 4), (4, 1)\} \)

Explanation

A relation is a function if every element in the domain has one and only one image. Only option 4 satisfies this condition for all elements 1, 2, 3, 4.
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