Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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If A = {1, 2, 3}, B = {4}, C = {5}, Then Verify That:(Ii) A × (B ∩ C) = (A × B) ∩ (A × C) - Mathematics

If A = {1, 2, 3}, B = {4}, C = {5}, then verify that:

(ii) A × (B ∩ C) = (A × B) ∩ (A × C)

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Solution

Given:
A = {1, 2, 3}, B = {4} and C = {5}

(ii) A × (B ∩ C) = (A × B) ∩ (A × C)
We have:
(B ∩ C)  =`phi  `
LHS: A × (B ∩ C) =`phi  `
And,
(A × B) = {(1, 4), (2, 4), (3, 4)}
(A × C) = {(1, 5), (2, 5), (3, 5)}
RHS: (A × B) ∩ (A × C) = `phi  `
∴ LHS = RHS

 

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 2 Relations
Exercise 2.2 | Q 3.2 | Page 12
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