NDA || Mathematics || Relation & Function- Part II || Quiz

Let  . Then,  is

Let S = {1, 2, 3, …). A relation R on S × S is defined by xRy if log_a x > log_a y when  Then the relation is

Let R be a relation defined as xRy if and only if 2x + 3y = 20, where x, y ϵ N. How many elements of the form (x, y) are there in R?

Given the relation R = {(1, 2), (2, 3)} on the set A = {1, 2, 3}, the minimum number of ordered pairs which when added to R make it an equivalence relation is

Consider the following statements in respect of relations and functions:

1) All relations are functions but all functions are not relations.

2) A relation from A to B is a subset of Cartesian product A X B

3) A relation in A is a subset of Cartesian product A X A

Which of the above statements are correct?

If f(x) = |x| + |x – 1|, then which one of the following is correct?

If , then f(x) f(y) f(z) is equal to

The domain of the function  is

Let  and . Then  is:

The function  is: