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Standard XII

Mathematics

Ordered Pair

Let A and ...

Question

Let $A$ and $B$ be two sets such that $n (A) = 5$ and $n (B) = 2$ .If $a, b, c, d, e$ are distinct and $(a, 2), (b, 3), (c, 2), (d, 3), (e, 2)$ are in $A \times B$ ,find $A$ and $B$

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Solution

Since $(a, 2), (b, 3), (c, 2), (d, 3), (e, 2)$ are elements of $A \times B$
$∴ a, b, c, d, e \in A$ and $2, 3 \in B$
It is given that $n (A) = 5$ and $n (B) = 2$
$∴ A = {a, b, c, d, e}$ and $B = {2, 3}$

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Similar questions

Let A and B be two sets such that n(A) = 3 and n(B) = 2. If (x, 1), (y, 2), (z, 1)\) are in $A \times B,$ find A and B, where x,y,z are distinct elements.

Q. Let

A

and

B

be two sets such that

n (A) = 3

and

n (B) = 2

. If

(x, 1), (y, 2), (z, 1)

are in

A \times B

find

A

and

B

where

x, y

and

z

are distinct elements

Q. Let

A

and

B

be two sets such that

n (A) = 3

and

n (B) = 2

. If

(x, 1), (y, 2), (z, 1)

are in

A \times B

, then find

A

and

B

, where

x, y, z

are distinct elements.

Q. Let A and B be two sets such that n(A) = 3 and n(B) = 2. If (x, 1), (y, 2), (z, 1) are in A × B, write A and B.

Q. Let

A

and

B

be two sets such that

n (A) = 5, n (A \cup B) = 9, n (A \cap B) = 2

, find

n (B)

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Let A and B be two sets such that n(A)=5 and n(B)=2.If a,b,c,d,e are distinct and (a,2),(b,3),(c,2),(d,3),(e,2) are in A×B,find A and B

Since (a,2),(b,3),(c,2),(d,3),(e,2) are elements of A×B∴a,b,c,d,e∈A and 2,3∈BIt is given that n(A)=5 and n(B)=2∴A={a,b,c,d,e} and B={2,3}

Let $A$ and $B$ be two sets such that $n (A) = 5$ and $n (B) = 2$ .If $a, b, c, d, e$ are distinct and $(a, 2), (b, 3), (c, 2), (d, 3), (e, 2)$ are in $A \times B$ ,find $A$ and $B$

Since $(a, 2), (b, 3), (c, 2), (d, 3), (e, 2)$ are elements of $A \times B$
$∴ a, b, c, d, e \in A$ and $2, 3 \in B$
It is given that $n (A) = 5$ and $n (B) = 2$
$∴ A = {a, b, c, d, e}$ and $B = {2, 3}$