COMEDK · Maths · 20. Sets and Relations
If \(A=\{3,5,7\}\) and \(B=\{1,2,3,5\}\), then \(A \times B \cap B \times A\) is equal to
- A \(\{(3,3),(5,3),(2,7),(7,2)\}\)
- B \(\{(3,3),(3,5),(5,3),(5,5)\}\)
- C \(\{(3,3),(5,5)\}\)
- D \(\{(3,5),(5,5),(5,3)\}\)
Answer & Solution
Correct Answer
(B) \(\{(3,3),(3,5),(5,3),(5,5)\}\)
Step-by-step Solution
Detailed explanation
The set \(A \times B\) consists of all ordered pairs \((a, b)\) where \(a \in A\) and \(b \in B\). Given \(A = \{3, 5, 7\}\) and \(B = \{1, 2, 3, 5\}\), the elements of \(A \times B\) are pairs \((a, b)\) such that \(a \in \{3, 5, 7\}\) and \(b \in \{1, 2, 3, 5\}\). The set…
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