If A - 1-2-B - x-x - N and x2 - 9 - 0- Find A - B-

Given , A={ 1,2 } B={ x:x ∈ N and x^2 9=0 } Here, x^2 9=0 ⇒ x^2=9 ⇒ x=± 3⇒ x=3 or x= 3 which is neglected since x∈ N ...

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Standard XII

Mathematics

Ordered Pair

If A = 1,2,...

Question

If $A = {1, 2}, B = {x : x \in N a n d x^{2} - 9 = 0},$ Find $A \times B .$

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Solution

Given , $A = {1, 2}$
$B = {x : x \in N a n d x^{2} - 9 = 0}$
Here, $x^{2} - 9 = 0$
$\Rightarrow x^{2} = 9$
$\Rightarrow x = \pm 3 \Rightarrow x = 3$ or $x = - 3$ which is neglected since $x \in N$
$∴ B = {3}$
$A \times B = {(1, 3), (2, 3)}$

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If A={1,2},B={x:x∈Nandx2−9=0}, Find A×B.

Given , A={1,2}B={x:x∈Nandx2−9=0}Here, x2−9=0⇒x2=9⇒x=±3⇒x=3 or x=−3 which is neglected since x∈N∴B={3}A×B={(1,3),(2,3)}

If $A = {1, 2}, B = {x : x \in N a n d x^{2} - 9 = 0},$ Find $A \times B .$

Given , $A = {1, 2}$
$B = {x : x \in N a n d x^{2} - 9 = 0}$
Here, $x^{2} - 9 = 0$
$\Rightarrow x^{2} = 9$
$\Rightarrow x = \pm 3 \Rightarrow x = 3$ or $x = - 3$ which is neglected since $x \in N$
$∴ B = {3}$
$A \times B = {(1, 3), (2, 3)}$