If A = 1, 2, 3 , B = 3, 4 and C = 4, 5, 6 , find A (B ) - Vidyadip

Question

If A = {1, 2, 3}, B = {3, 4} and C = {4, 5, 6}, find $\text{A}\times(\text{B}\cap\text{C})$

✓

Answer

We have, $\text{A}=\{1,2,3\},\text{ B}=\{3,4\}$ and $\text{C}=\{4,5,6\}$ $\therefore\ \text{B}\cap\text{C}=\{3,4\}\cap\{4,5,6\}=\{4\}$ $\therefore\ \text{A}\times(\text{B}\cap\text{C})=\{1,2,3\}\times\{4\}$ $=\{(1,4),(2,4),(3,4)\}$ $\Rightarrow\text{A}\times(\text{B}\cap\text{C})=\{(1, 4), (2, 4), (3, 4)\}$

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 "(Each question 3 marks)" from Relation→Relation — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

How many words each of 3 vowels and 2 consonants can be formed from the letters of the word INVOLUTE?

Solve the following linear inequations in R: $\frac{2\text{x}-3}{3\text{x}-7}>0$

Find the domain of the following real valued functions of real variable: $\text{f(x)}=\frac{1}{\text{x}-7}$

Find the conjugates of the following complex numbers: $\frac{1}{3+5\text{i}}$

The ratio of the sum of $m$ and $n$ terms of an A.P. is $m^2: n^2$ Show that the ratio of $m^{\text {th }}$ and $n^{\text {th }}$ term is $(2 m-1):(2 n-1)$.

If P(n ,5) = 20.P(n, 3), find n.

In a school there are 20 teachers who teach mathematics or physics. Of these, 12 teach mathematics and 4 physics and mathematics. How many teach physics?

Show that for any sets A and B,

$\text{A}=(\text{A}\cap\text{B})\cap(\text{A - B})$

Find the equations of the sides of the triangles the coordinates of whose angular points are respectively: (1, 4), (2, -3) and (-1, -2)

Find the geometric means of the following pairs of numbers:$a^3b$ and $ab^3$