The shaded region in the given figure is:

Domain of the function $f(x) = \frac{x - 3}{(x - 1)\sqrt{x^2 - 4}}$ is

$2n (A \setminus B) = n (B \setminus A)$ and $5n (A \cap B) = n (A) + 3n (B)$,where $P \setminus Q = P \cap Q^C$. If $n (A \cup B) \leq 10$,then the value of $\frac{n(A) \cdot n(B) \cdot n(A \cap B)}{8}$ is:

Which of the following sets is infinite?

The range of $f(x) = \cos 2x - \sin 2x$ contains the set

Let $A = \{1, 2\}, B = \{2, 3\}$. Evaluate $A \times B$.