RELATIONS AND FUNCTIONS - EX 2.1 QUIZ

Let A = {1, 2, 3} and B = {5, 7}. Then A x B =

• (1, 5), (1, 7), (2, 5), (2, 7), (3, 5), (3, 7)

• {(1, 5), (1, 7), (2, 5), (2, 7), (3, 5), (3, 7)}

• {(1, 5), (1, 7), (2, 5), (2, 7), (3, 5)}

• {(1, 2), (1, 3), (2, 1), (2, 3), (3, 1), (3, 2), (5, 7)}

Find x and y if: (4x + 3, y) = (3x + 5, – 2)

• x = 2, y = - 2

• y = 2, x = - 2

• x = 2, y = 2

• x = - 2, y = - 2

Let n (A) = m, and n (B) = n. Then the total number of non-empty relations that can be defined from A to B is

• $m^n$

• $n^m-1$

• $mn-1$

• $2^{mn}-1$

If A × B = {(a, x), (a, y), (b, x), (b, y)}, then A =

• {a, b}

• {x, y}

• {a, x, b, y}

• none of these

Let A = {1, 2} and B = {3, 4}. Number of subsets will A × B have

• 16

• 4

• 2

• none of these

If P = {1, 2}, then P × P × P = {(1, 1, 1), (2, 2, 2), (1, 2, 2), (2, 1, 1)}

• TRUE

• FALSE

If the set A has 3 elements and the set B = {3, 4, 5}, then find the number of elements in (A × B).

• 6

• 3

• 9

• NONE OF THESE

 $If\ A\ =\ \left\{x\ :\ x\in W,\ x<2\right\},\$   $B\ =\ \left\{x:\ x\in N,\ 1<x<5\right\},$  $\ C=\left\{3,5\right\}$    $then\ A\times\left(B\cap C\right)=$  

• {(1, 3)}

• {(0, 3), (1, 3)}

• {(0, 1), (1, 3)}

• none of these