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

  • question_answer
    \[R\,:\,B\,\to G\] be defined by \[R=\left\{ \left( {{b}_{1}},\,{{g}_{1}} \right),\,\left( {{b}_{2}},\,{{g}_{2}} \right),\,\left( {{b}_{3}},\,{{g}_{3}} \right) \right\}\,\], then R is

    A) Injective

    B) Surjective

    C) Neither Surjective nor Injective

    D) Surjective and Injective.

    Correct Answer: B

    Solution :

    \[B=\left\{ {{b}_{1}},\,{{b}_{2}},\,{{b}_{3}} \right\},\,G=\left\{ {{g}_{1}},\,{{g}_{2}} \right\}\] Clearly 'R' is surjective.


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