Class 11 Maths: Relations & Functions Basics

1. Q1. If A = {1, 2, 3} and B = {a, b}, which of the following is a relation from A to B?
   • {(1, a), (2, b), (3, c)}
   • {(1, a), (2, b)}
   • {(a, 1), (b, 2)}
   • {(1, 1), (2, 2)}
2. Q2. The domain of the function f(x) = 1/(x-2) is:
   • R
   • R - {2}
   • R - {0}
   • {2}
3. Q3. A function is a special type of relation where every element of the domain has one and only one image in the ____.
4. Q4. If a relation R from set A to set B is defined as R = {(x, y) : x ∈ A, y ∈ B and y = x+1}. If A = {1, 2, 3} and B = {2, 3, 4, 5}, then the elements of R are:
   • {(1, 2), (2, 3), (3, 4)}
   • {(1, 2), (2, 3), (3, 5)}
   • {(1, 2), (2, 4), (3, 5)}
   • {(1, 2), (3, 4)}
5. Q5. Which of the following describes the range of the function f(x) = x^2?
   • All real numbers
   • All non-negative real numbers
   • All positive real numbers
   • All integers

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