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

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2.Relations and Functions

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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

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