If (1, 3), (2, 5) and (3, 3) are three elemen | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Given that $(1, 3), (2, 5), (3, 3) \in A 	imes B$. From these ordered pairs,the elements of set $A$ are the first components: $A = \{1, 2, 3\}$.

Vedclass · Accepted Answer

$(1, 5), (2, 3), (3, 5)$

Vedclass · Answer

(A) Given that $(1, 3), (2, 5), (3, 3) \in A 	imes B$. From these ordered pairs,the elements of set $A$ are the first components: $A = \{1, 2, 3\}$. The elements of set $B$ are the second components: $B = \{3, 5\}$. The total number of elements in $A 	imes B$ is $n(A) 	imes n(B) = 3 	imes 2 = 6$. The complete set $A 	imes B$ is $\{(1, 3), (1, 5), (2, 3), (2, 5), (3, 3), (3, 5)\}$. We are given three elements: $(1, 3), (2, 5), (3, 3)$. The remaining elements are $\{(1, 5), (2, 3), (3, 5)\}$. Thus,the correct option is $A$.

If $(1, 3), (2, 5)$ and $(3, 3)$ are three elements of $A \times B$ and the total number of elements in $A \times B$ is $6$,then the remaining elements of $A \times B$ are

Similar Questions

If $P = \{a, b, c\}$ and $Q = \{r\}$,find the sets $P \times Q$ and $Q \times P$. Are these two products equal?

If set $A$ has $p$ elements and set $B$ has $q$ elements,then the number of elements in $A \times B$ is:

Let $A = \{1, 2, 3\}$,$B = \{3, 4\}$ and $C = \{4, 5, 6\}$. Find $(A \times B) \cup (A \times C)$.

If $A = \{0, 1\}$ and $B = \{1, 0\}$,then $A \times B$ is equal to

Let $A = \{1, 2, 3\}$,$B = \{3, 4\}$,and $C = \{4, 5, 6\}$. Find $A \times (B \cap C)$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module