Q171 / 270 · NDA 2023 (Phase 2) · Mathematics

The Cartesian product A × A has 16 elements among which are (0, 2) and (1, 3). Which of the following statements is/ are correct? 1. It is possible to determine set A 2. A × A contains the element (3, 2). Select the correct answer using the code given below:

  • A
    1 only
  • B
    2 only
  • Correct answer
    C
    Both 1 and 2
  • D
    Neither 1 nor 2

Solution

Since, n(A × A) = 16 and A × A contain (0, 2) and (1, 3) So A = {0, 1, 2, 3}

Hence, the correct answer is option: 'C'.

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