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CA Foundation · Quantitative Aptitude · Sets, Relations and Functions, Limits and Continuity

A relation R is defined from Set P = {1, 3, 5} to Set Q = {2, 4, 6} as R = {(1, 2), (1, 4), (3, 6), (5, 4)}. What is the domain of relation R?

The domain of relation R consists of all first elements from the ordered pairs: 1, 3, and 5. Thus, Domain(R) = {1, 3, 5}.

  1. A{2, 4, 6}
  2. B{1, 3, 5}Correct
  3. C{1, 3, 5, 2, 4, 6}
  4. D{3, 5}

Explanation

The domain of a relation is the set of all first elements (inputs) in the ordered pairs. From R = {(1, 2), (1, 4), (3, 6), (5, 4)}, the first elements are 1, 3, and 5. Therefore, Domain(R) = {1, 3, 5}. The range (second elements) would be {2, 4, 6}, which is a common distractor.

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