COMEDK · Maths · 20. Sets and Relations
If \(A=\{a, b, c\}, B=\{b, c, d\}\) and \(C=\{a, d, c\}\) then \((A-B) \times(B \cap C)\) is equal to
- A \(\{(a, c),(a, d)\}\)
- B \(\{(a, b),(c, d)\}\)
- C \(\{(c, a),(d, a)\}\)
- D \(\{(a, c),(a, d),(b, d)\}\)
Answer & Solution
Correct Answer
(A) \(\{(a, c),(a, d)\}\)
Step-by-step Solution
Detailed explanation
Given, \(A=\{a, b c\}, B=\{b, c, d\}\) and \(C=\{a, d, c\}\) Now, \(A-B=\{a, b, c\}-\{b, c, d\}=\{a\}\) and \(B \cap C=\{b, c, d\} \cap\{a, d, c\}=\{c, d\}\) \(\therefore(A-B) \times(B \cap C)=\{a\} \times\{c, d\}=\{(a, c),(a, d)\}\)
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