A is correct (definition of equivalence relation). B is incorrect: f(x)=ex is one-one since f′(x)=ex>0. C is correct (injective = one-one). D is treated as correct (intended meaning: surjective = onto). E is incorrect: many-one means two elements have the same image, not different images. So A, C, D only.
Note: Option D uses 'subjective' which is taken as the intended term 'surjective'.
A. A relation R on a set A is called an equivalence relation, if it is reflexive, symmetric and transitive. B. The function f : R → R defined by f(x)…
CUET UG 2022 — Mathematics Algebra
2022mcqeasy
A. A relation R on a set A is called an equivalence relation, if it is reflexive, symmetric and transitive.
B. The function f:R→R defined by f(x)=ex is not one-one.
C. The one-one function is also known as injective function.
D. The onto function is also known as subjective function.
E. A function f:X→Y is said to be many-one, if two or more than two elements in set X have the different image in set Y.
Choose the correct answer from the option given below:
Official previous-year question
Held on 10 Aug 2022 · Verified 13 Jul 2026.
Options
- A
A, C, D only
- B
B, C, D only
- C
C, D, E only
- D
B, D, E only
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