If $A$ and $B$ are two given sets,then $A \cap (A \cap B)^c$ is equal to

If $A = \{x, y\}$,then the power set of $A$ is

The domain of the function $f(x) = \log_{3 + x}(x^2 - 1)$ is

Let $A, B$ and $C$ be sets such that $\phi \ne A \cap B \subseteq C$. Then which of the following statements is not true?

The number of elements in the set $\{ (a, b) : 2a^2 + 3b^2 = 35, a, b \in \mathbb{Z} \}$,where $\mathbb{Z}$ is the set of all integers,is

If $X = \{ 4^n - 3n - 1 : n \in N \}$ and $Y = \{ 9(n - 1) : n \in N \}$,then $X \cup Y$ = . . . . .