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)}.