If \[A=\{x:{{x}^{2}}-5x+6=0\},\,B=\{2,\,4\},\,C=\{4,\,5\},\] then \[A\times (B\cap C)\] is [Kerala (Engg.) 2002]

If \[A=\{x:{{x}^{2}}-5x+6=0\},\,B=\{2,\,4\},\,C=\{4,\,5\},\] then \[A\

1.	If \[A=\{x:{{x}^{2}}-5x+6=0\},\,B=\{2,\,4\},\,C=\{4,\,5\},\] then \[A\times (B\cap C)\] is [Kerala (Engg.) 2002]
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)}
Answer» B. {(4, 2), (4, 3)}