If A = 1, 2, 3 and B = 2, 4 , state the elements of A × A, A × B,… - Vidyadip

Question

If A = {1, 2, 3} and B = {2, 4}, state the elements of A × A, A × B, B × A, B × B, (A × B) ∩ (B × A).

✓

Answer

$
\begin{aligned}
& A=\{1,2,3\} \text { and } B=\{2,4\} \\
& A \times A=\{(1,1),(1,2),(1,3),(2,1),(2,2),(2,3),(3,1),(3,2),(3,3)\} \\
& A \times B=\{(1,2),(1,4),(2,2),(2,4),(3,2),(3,4)\} \\
& B \times A=\{(2,1),(2,2),(2,3),(4,1),(4,2),(4,3)\} \\
& B \times B=\{(2,2),(2,4),(4,2),(4,4)\} \\
& (A \times B) \cap(B \times A)=\{(2,2)\}
\end{aligned}
$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Solve the following Question.(1 Marks)" from Sets and Relations (p-1)→Sets and Relations (p-1) — all question types→Maths (commerce) STD 11 Commerce / Arts question papers→Maharashtra Board STD 11 Commerce / Arts question papers→Maharashtra Board question paper generator→

Similar questions

Verify whether the following sequences are H.P. : $\frac{1}{7}, \frac{1}{9}, \frac{1}{11}, \frac{1}{13}, \frac{1}{15}, \ldots$

Examine whether the function is continuous at the points indicated against them. $f(x)=x^3-2 x+1$, for $x \leq 2$ $=3 x-2$, for $x>2$, at $x=2$

Obtain the equation of the line containing the point: (2, 3) and parallel to the X-axis.

Find the number of arranging 11 distinct objects taken 4 at a time so that a specified object: always occurs

Evaluate the following Limits:$\lim _{x \rightarrow 2}\left[\frac{(x-2)}{2 x^2-7 x+6}\right]$

For a distribution, mean $=60$, median $=75$ and variance $=900$. Find Pearsonian coefficient of skewness Sk .

Evaluate the following limits:

$\lim _{u \rightarrow 1}\left[\frac{u^4-1}{u^3-1}\right]$

What would be the simple interest on an amount of ₹ 9,600 at the rate of $6 \%$ per annum after 3 years?

Mr. Rutvik invests ₹ 30,000 in buying shares of a company that pays a $12 \%$ dividend annually on $₹ 100$ shares selling at a premium of $₹ 50$. Find: His annual income from the shares.

Find n, if: $\frac{(15-n) !}{(13-n) !}=12$