Q38 of 68 Page 27

State True or False for the following statements

The ordered pair (5, 2) belongs to the relation R = {(x, y) : y = x – 5, x, y ∈ Z}

The given statement is false.

Explanation:


given R = {(x, y) : y = x – 5, x, y ∈Z}


This means set R contains numbers such that y = x-5, so


So when x = 5, y becomes


y = x-5 = 5-5 = 0


So corresponding y will be 0,


So (5,2) does not belong to R.


More from this chapter

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36

Fill in the blanks:

Let f and g be two real functions given by


f = {(0, 1), (2, 0), (3, – 4), (4, 2), (5, 1)}


g = {(1, 0), (2, 2), (3, – 1), (4, 4), (5, 3)}


then the domain of f . g is given by _________.

 37

Fill in the blanks:

Let f = {(2, 4), (5, 6), (8, – 1), (10, – 3)}


g = {(2, 5), (7, 1), (8, 4), (10, 13), (11, 5)}


be two real functions. Then Match the following :


 39

State True or False for the following statements

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

 40

State True or False for the following statements

If A = {1, 2, 3}, B = {3, 4} and C = {4, 5, 6}, then (A × B) ∪ (A × C)


= {(1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 4), (2, 5), (2, 6), (3, 3), (3, 4), (3, 5), (3, 6)}.