Question
Let A = {1, 2, 3} and B = {3, 4}. Find A × B and show it graphically.
✓
Answer
We have, A = {1, 2, 3} and B = {3, 4} $\therefore$ A × B = {1, 2, 3} × {3, 4} = {(1, 3), (1, 4), (2, 3), (2, 4), (3, 3), (3, 4)} To represent A × B graphically, follow the given steps: Draw two mutually perpendicular lines-one horizontal and one vertical. On the horizontal line, represent the elements of set A and on the vertical line, represent the elements of set B. Draw vertical dotted lines through points representing elements of set A on the horizontal line and horizontal lines through points representing elements of set B on the vertical line. The points of intersection of these lines will represent A × B graphically.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
The sums of n terms of two arithmetic progressions are in the ratio $5n + 4 : 9n + 6$. Find the ratio of their 18th terms.
→Given A = {1, 2, 3}, B = {3, 4}, C ={4, 5, 6}, find $(\text{A}\times\text{B})\cap(\text{B}\times\text{C})$
→Solve the following equations: $\text{cosec }\text{x}=1+\cot\text{x}$
→Find what the following equations become when the origin is shifted to the point (1, 1).xy - x - y + 1 = 0
Evaluate the following one sided limits: $\lim\limits_{\text{x}\rightarrow2^-}\frac{\text{x}-3}{\text{x}^2-4}.$
→Find the conjugates of the following complex numbers: $\frac{1}{1+\text{i}}$
→Find $(a + b)^4 - (a - b)^4.$ Hence, evaluate ${(\sqrt 3 + \sqrt 2 )^4} - {(\sqrt 3 - \sqrt 2 )^4}$
→Solve the following linear inequations in R: $\frac{5-2\text{x}}{3}<\frac{\text{x}}{6}-5$
→The sums of n terms of two arithmetic progressions are on the ratio 5n + 4:9n + 6. Find the ratio of their $18^{th}$ terms.
→In a cricket team tournament 16 teams participated. A sum of ₹ 8000 is to be awarded among themselves as prize money. If the last place team is awarded ₹ 275 in prize money and the award increases by the same amount for successive finishing places, then how much amount will the first place team receive?