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Class 12 Maths Practice Test: Relations and Functions
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Class 12 Maths Practice Test: Relations and Functions
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10 Questions

1. Which of the following relations is symmetric and transitive but not reflexive for the set I = {4, 5}?
2. Let I be a set of all lines in a XY plane and R be a relation in I defined as R = {(I1, I2):I1 is parallel to I2}. What is the type of given relation?
3. Let R be a relation in the set N given by R={(a,b): a+b=5, b>1}. Which of the following will satisfy the given relation?
4. (a1, a2) ∈R implies that (a2, a1) ∈ R, for all a1, a2∈A. This condition is for which of the following relations?
5. Which of these is not a type of relation?
6. An Equivalence relation is always symmetric.
7. Which of the following relations is symmetric but neither reflexive nor transitive for a set A = {1, 2, 3}.
8. Which of the following relations is reflexive but not transitive for the set T = {7, 8, 9}?
9. (a,a) ∈ R, for every a ∈ A. This condition is for which of the following relations?
10. Which of the following relations is transitive but not reflexive for the set S={3, 4, 6}?

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