If A = { x:{x^2} - 5x + 6 = 0} ,,B = { 2,,4} ,,C = { 4,,5} , then A × (B cap C) is

English

Gujarati

Hindi

2.Relations and Functions

easy

If $A = \{ x:{x^2} - 5x + 6 = 0\} ,\,B = \{ 2,\,4\} ,\,C = \{ 4,\,5\} ,$ then $A \times (B \cap C)$ is

A

$\{(2, 4), (3, 4)\}$

B

$\{(4, 2), (4, 3)\}$

C

$\{(2, 4), (3, 4), (4, 4)\}$

D

$\{(2,2), (3,3), (4,4), (5,5)\}$

Solution

(a) Clearly, $A = \{2, 3\}, B = \{2, 4\}, C = \{4, 5\}$

$B \cap C = \{4\}$

$\therefore$ $A × (B \cap C) = \{(2, 4); (3, 4)\}.$

Standard 11

Mathematics

Share

Similar Questions

If the set $A$ has $p$ elements, $B$ has $q$ elements, then the number of elements in $A × B$ is

easy

If $P=\{1,2\},$ form the set $P \times P \times P$

easy

Let $A$ and $B$ be two sets such that $n(A)=3$ and $n(B)=2 .$ If $(x, 1),(y, 2),(z, 1)$ are in $A \times B$, find $A$ and $B$, where $x, y$ and $z$ are distinct elements.

easy

If $A \times B =\{(p, q),(p, r),(m, q),(m, r)\},$ find $A$ and $B$

easy

If $A = \{2, 3, 5\}, B = \{2, 5, 6\},$ then $(A -B) × (A \cap B)$ is

easy