2. Questions Bank
  3. 12th Class
  4. Mathematics
  5. Relations and Functions

12th Class Mathematics Relations and Functions Question Bank Case Based (MCQs) - Relations and Functions

  • question_answer
    Let \[R=\left\{ \left( {{L}_{1}},\,{{L}_{2}} \right)\,:\,{{L}_{1}}\,\bot {{L}_{2}}, \right\}\] where \[{{L}_{1}},\,{{L}_{2}}\in L\] which of the following is true ?

    A) R is Symmetric but neither reflexive nor transitive

    B) R is Reflexive and transitive but not symmetric

    C) R is Reflexive but neither symmetric nor transitive

    D) R is an Equivalence relation.

    Correct Answer: A

    Solution :

    A line can't be perpendicular to itself \[\therefore \] R is not reflexive Clearly R is symmetric but not transitive.


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