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

A relation R from A = {1, 2, 3, 4} to B = {1, 4, 9, 16} is defined by R = {(x, y) : y = x²}. Which statement is correct?

The range of R is {1, 4, 9, 16}. The relation gives the pairs (1,1), (2,4), (3,9) and (4,16); the first elements form the domain {1, 2, 3, 4} and the second elements form the range.

  1. AThe range of R is {1, 2, 3, 4}
  2. BThe domain of R is {1, 4, 9, 16}
  3. CR has 16 ordered pairs
  4. DThe range of R is {1, 4, 9, 16}Correct

Explanation

The pairs are (1,1), (2,4), (3,9), (4,16). The domain is the set of first elements, {1, 2, 3, 4}, and the range is the set of second elements, {1, 4, 9, 16}. R has 4 pairs, not 16, and the domain and range options in the other choices are swapped.

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