If $A \times B=\{(a, x),(a, y),(b, x),(b, y)\} .$ Find $A$ and $B$
If $A \times B=\{(a, x),(a, y),(b, x),(b, y)\} .$ Find $A$ and $B$
If is given that $A \times B=\{(a, x),(a, y),(b, x),(b, y)\}$
We know that the Cartesian product of two non-empty sets $P$ and $Q$ is defined as
$P \times Q=\{(p, q): p \in P, q \in Q\}$
$\therefore $ $A$ is the set of all first elements and $B$ is the set of all second elements.
Thus, $A=\{a, b\}$ and $B=\{x, y\}$
Similar Questions
Let $A, B, C$ are three sets such that $n(A \cap B) = n(B \cap C) = n(C \cap A) = n(A \cap B \cap C) = 2$, then $n((A × B) \cap (B × C)) $ is equal to -
Let $A, B, C$ are three sets such that $n(A \cap B) = n(B \cap C) = n(C \cap A) = n(A \cap B \cap C) = 2$, then $n((A × B) \cap (B × C)) $ is equal to -
If $G =\{7,8\}$ and $H =\{5,4,2\},$ find $G \times H$ and $H \times G$.
If $G =\{7,8\}$ and $H =\{5,4,2\},$ find $G \times H$ and $H \times G$.
$A = \{1, 2, 3\}$ and $B = \{3, 8\}$, then $(A \cup B) × (A \cap B)$ is
$A = \{1, 2, 3\}$ and $B = \{3, 8\}$, then $(A \cup B) × (A \cap B)$ is
Let $A=\{1,2\}$ and $B=\{3,4\} .$ Write $A \times B .$ How many subsets will $A \times B$ have? List them.
Let $A=\{1,2\}$ and $B=\{3,4\} .$ Write $A \times B .$ How many subsets will $A \times B$ have? List them.
If $(x+1, y-2)=(3,1),$ find the values of $\mathrm{x}$ and $\mathrm{y}$.
If $(x+1, y-2)=(3,1),$ find the values of $\mathrm{x}$ and $\mathrm{y}$.