Question

If $A\times B$ has $6$ elements and $(-3,-2),(4,4),(2,-2)$ are the elements of $A\times B$, then the correct option(s) is/are

• A. $A=\{-3,2\}$
• B. $B=\{-2,4\}$
• C. $A\times B=\left\{\right(-3,-2),(2,-2),(4,-2),(-3,4),(2,4),(4,4\left)\right\}$
• D. $B\times A=\left\{\right(-2,-3),(-2,2),(4,-3),(4,2\left)\right\}$

Answer 1

Answer: (B), (C)

$A\times B=\left\{\right(-3,-2),(2,-2),(4,-2),(-3,4),(2,4),(4,4\left)\right\}$

If $(-3,-2),(4,4),(2,-2)$ are the elements of $A\times B$ and $n(A\times B)=6$, then $A=\{-3,2,4\}$ and $B=\{-2,4\}$

$\therefore A\times B=\left\{\right(-3,-2),(2,-2),(4,-2),(-3,4),(2,4),(4,4\left)\right\}$
$\therefore B\times A=\left\{\right(-2,-3),(-2,2),(-2,4),(4,-3),(4,2),(4,4\left)\right\}$