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

  • question_answer
    Let \[R=\left\{ \left( {{L}_{1}},\,{{L}_{2}} \right)\,\,:\,\,{{L}_{1}} \right.\] is parallel to \[{{L}_{2}}\] and \[\left. {{L}_{1}}\,\,:\,\,\,y=x-4 \right\}\] then which of the following can be taken as \[{{L}_{2}}\]?

    A) \[2x-2y+5=0\]

    B) \[2x+y=5\]

    C) \[2x+2y+7=0\]

    D) \[x+y=7\]

    Correct Answer: A

    Solution :

    \[y=x-4\] \[\Rightarrow \,\,\,x-y=4\] \[\Rightarrow \,\,x-y-4=0\] \[{{L}_{2}}\] is \[2x-2y+5=0\].


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