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Class 11

Cartesian Products and Relations — Quiz

Five questions on ordered pairs, Cartesian products and relations. Pick one answer for each.

5 questions, one mark each. 3 to pass. Suggested time: 10 minutes. Your answers are not recorded.

  1. Find xx and yy if (x+3,2y−1)=(7,9)(x + 3, 2y - 1) = (7, 9).
  2. n(A)=3n(A) = 3 and n(B)=5n(B) = 5. How many elements does A×BA \times B have?
  3. AA and BB each have 22 elements. How many relations are there from AA to BB?
  4. On A={1,2,…,8}A = \{1, 2, \ldots, 8\}, R={(a,b):b=a+3}R = \{(a, b) : b = a + 3\}. What is the range of RR?
  5. If A×B={(1,p),(1,q),(3,p),(3,q)}A \times B = \{(1, p), (1, q), (3, p), (3, q)\}, what is BB?
Unanswered questions are marked wrong.

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