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If a × B = {(A, X), (A, Y), (B, X), (B, Y)}. Cartesian Product Find a and B. - Mathematics

Sum

If A × B = {(a, x), (a, y), (b, x), (b, y)}. Find A and B.

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Solution

It is given that A × B = {(a, x), (a, y), (b, x), (b, y)}

We know that the Cartesian product of two non-empty sets P and Q is defined as P × Q = {(p, q): p ∈ P, q∈ Q}

∴ A is the set of all first elements and B is the set of all second elements.

Thus, A = {a, b} and B = {x, y}

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APPEARS IN

NCERT Class 11 Mathematics Textbook
Chapter 2 Relations and Functions
Exercise 2.1 | Q 6 | Page 33
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