- Home
- Standard 11
- Mathematics
2.Relations and Functions
easy
જો $n(A)=3$ અને $n(B)=2$ હોય તેવા બે ગણો $A$ અને $B$ હોય અને ભિન્ન ઘટકો $x, y$ અને $z$ માટે $(x, 1),(y, 2),(z, 1)$ એ $A \times B$ ના ઘટકો હોય તો $A$ અને $B$ શોધો.
A
$\{ x,y,z\} $ and $\{ 1,2\} $
B
$\{ x,y,z\} $ and $\{ 1,2\} $
C
$\{ x,y,z\} $ and $\{ 1,2\} $
D
$\{ x,y,z\} $ and $\{ 1,2\} $
Solution
It is given that $n(A)=3$ and $n(B)=2 ;$ and $(x, 1),(y, 2),(z, 1)$ are in $A \times B$
We know that
$A=$ Set of first elements of the ordered pair elements of $A \times B$
$B =$ Set of second elements of the ordered pair elements of $A \times B$
$\therefore x, y,$ and $z$ are the elements of $A ;$ and $1$ and $2$ are the elements of $B$
Since $n(A)=3$ and $n(B)=2$
It is clear that $A=\{x, y, z\}$ and $B=\{1,2\}$
Standard 11
Mathematics
