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

  • question_answer
    Three friends \[{{F}_{1}},\,{{F}_{2}}\] and \[{{F}_{3}}\] exercised their voting right in general election-2019, then which of the following is true ?

    A) \[\left( {{F}_{1}},\,{{F}_{2}} \right)\in R,\,\left( {{F}_{2}},\,{{F}_{3}} \right)\in R\] and \[\left( {{F}_{1}},\,{{F}_{3}} \right)\in R\]

    B) \[\left( {{F}_{1}},\,{{F}_{2}} \right)\in R,\,\left( {{F}_{2}},\,{{F}_{3}} \right)\in R\] and \[\left( {{F}_{1}},\,{{F}_{3}} \right)\notin R\]

    C) \[\left( {{F}_{1}},\,{{F}_{2}} \right)\in R,\,\left( {{F}_{2}},\,{{F}_{2}} \right)\in R\] not \[\left( {{F}_{3}},\,{{F}_{3}} \right)\notin R\]

    D) \[\left( {{F}_{1}},\,{{F}_{2}} \right)\notin R,\,\left( {{F}_{2}},\,{{F}_{3}} \right)\notin R\] and \[\left( {{F}_{1}},\,{{F}_{3}} \right)\notin R\]

    Correct Answer: A

    Solution :

    Clearly \[\left( {{F}_{1}},\,{{F}_{2}} \right)\in R\], \[\left( {{F}_{2}},\,{{F}_{3}} \right)\in \,R\] and \[\left( {{F}_{1}},\,{{F}_{3}} \right)\in R\].


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