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

  • question_answer
    Consider \[\frac{x}{2}+\frac{y}{4}\ge 1\] and \[\frac{x}{3}+\frac{y}{2}\le 1,x,y\ge 0.\] Then number of possible solutions are:

    A) Zero

    B) Unique

    C) Infinite

    D) None of these

    Correct Answer: C

    Solution :

    [c] Consider \[\frac{x}{2}+\frac{y}{4}\ge 1,\frac{x}{3}+\frac{y}{2}\le 1,x,y\ge 0\] Convert them into equation and solve them and draw the graph of these equations We get y=1 and x=3/2


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