﻿ ,  find the values of x and y. from Mathematics Relations and Functions Class 11 Uttarakhand Board # ,  find the values of x and y.   and Hence, x =2, y =1
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State whether each of the following statements are True or False. If the statement is False, re-write it correctly.

(i) P = {m, n} and Q = {n, m}, then P x Q = {(m, n), (n, m)}
(ii) If A and B are two non-empty sets, then A x B is a non-empty set of ordered pairs (x, y) such that .
(iii) If A = {1, 2}, B = {3, 4}, then (i)  P = {m, n},  Q = {n, m} n(P|) = 2,  n(Q) = 2 n(P xQ) =n(P) x n(Q) = 2 x 2 = 4

But, it is given that P x Q  = {(m, n).(n, m)} n(P x Q) = 2

Hence, the statement is False.

Also,     P x Q = {m, n} x {n , m} = {(m, m), (m, n), (n, n), (n, m)}

(ii) The statement is False. The correct statement is (iii) The statement is true as  210 Views

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

A x B = {(p, q), (p, r), (m, q), (m, r)}    Hence,    A = {p, m), B = {q, r}

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If G = {7, 8} and H = {5, 4, 2}, find G × H and H × G

G x H = (7, 8) x (5, 4, 2)

= {(7, 5).(7,4),(7,2),(8,5)(8,4),(8,2)}

H x G = {5, 4, 2) x (7, 8}

= {(5, 7), (5, 8), (4, 7), (4, 8), (2, 7), (2, 8)}

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If A = {–1, 1}, find A × A × A.

A X A X A = {(-1, -1, -1) (-1, -1, 1)(-1, 1, -1), (-1, 1, 1), (1, -1, -1), (1, -1: 1), (1, 1, -1), (1, 1, 1)}

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