JEE Main & Advanced Mathematics Equations and Inequalities Question Bank Self Evaluation Test - Linear Inequalities

  • question_answer
    The length of a rectangle is three times the breadth. If the minimum perimeter of the rectangle is 160 cm, then what can you say about breadth?

    A) \[\operatorname{breadth} = 20\]

    B) \[breadth\,\,\le 20\]

    C) \[breadth\,\,\ge 20\]

    D) \[breadth\,\,\ne 20\]

    Correct Answer: C

    Solution :

    [c] If x cm is the breadth, then \[2(3x+x)\ge 160\Rightarrow x\ge 20\]


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