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JEE Main & Advanced Mathematics Linear Programming Question Bank Self Evaluation Test - Linear Programming

  • question_answer
    Graph of the constrains \[\frac{x}{3}+\frac{y}{4}\le 1,x\ge 0,y\ge 0\] is

    A)  

    B)

    C)

    D)

    Correct Answer: B

    Solution :

    [b] Take a test point \[O(0,0).\] Equation of the constraint is \[\frac{x}{3}+\frac{y}{4}\le 1\] \[\Rightarrow 4x+3y\le 12\] Since \[4(0)+3(0)\le 12,\] the feasible region lies Below the line \[4x+3y=12\] Since \[x\ge 0,y\ge 0\] the feasible region lies in the first quadrant.


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