Sets Relations And Functions Question 30
Question: If $A=\{x: x^2-5 x+6=0\}, B=\{2,4\}, C=\{4,5\}$ then $A \times(B \cap C)$
[Kerala (Engg.) 2002]
Options:
A) {(2, 4), (3, 4)}
B) {(4, 2), (4, 3)}
C) {(2, 4), (3, 4), (4, 4)}
D) {(2,2), (3,3), (4,4), (5,5)}
Show Answer
Answer:
Correct Answer: A
Solution:
- Clearly, A = {2, 3}, B = {2, 4}, C = {4, 5} B Ç C = {4}
$ \therefore $ A × (B Ç C) = {(2, 4); (3, 4)}.