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STD 12 - 1. relation and function — Mathematics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceMathematicsSTD 12 - 1. relation and function1 Mark
MCQ
The relation $R= \{(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)\}$ on set $A = \{1, 2, 3\}$ is
  • ✓
    Reflexive but not symmetric
  • B
    Reflexive but not transitive
  • C
    Symmetric and Transitive
  • D
    Neither symmetric nor transitive
✓

Answer

Correct option: A.
Reflexive but not symmetric
a
(a) Since $ (1, 1); (2, 2); (3, 3) \in R $ therefore $R$ is reflexive. $ (1, 2) \in R$ but $(2, 1) \in R $, therefore $R$ is not symmetric. It can be easily seen that $R$ is transitive.

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