If $A = \{ x:{x^2} - 5x + 6 = 0\} ,\,B = \{ 2,\,4\} ,\,C = \{ 4,\,5\} ,$ then $A \times (B \cap C)$ is

  • A

    $\{(2, 4), (3, 4)\}$

  • B

    $\{(4, 2), (4, 3)\}$

  • C

    $\{(2, 4), (3, 4), (4, 4)\}$

  • D

    $\{(2,2), (3,3), (4,4), (5,5)\}$

Similar Questions

Let $A=\{1,2\}, B=\{1,2,3,4\}, C=\{5,6\}$ and $D=\{5,6,7,8\} .$ Verify that

$A \times C$ is a subset of $B \times D$

The solution set of $8x \equiv 6(\bmod 14),\,x \in Z$, are

If two sets $A$ and $B$ have $99$ elements in common, then the number of elements common to the sets $A \times B$ and $B \times  A$ is equal to

If $n(A) = 4$, $n(B) = 3$, $n(A \times B \times C) = 24$, then $n(C) = $

The Cartesian product $A$ $\times$ $A$ has $9$ elements among which are found $(-1,0)$ and $(0,1).$ Find the set $A$ and the remaining elements of $A \times A$.