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KVPY Sample Paper KVPY Stream-SX Model Paper-30

  • question_answer
    The sides of a rectangle are chosen at random, each less than 10 cm, all such lengths being equally likely. The chance that the diagonal of the rectangle is less than 10 cm is

    A) 1/10

    B) 1/20            

    C) \[\pi /4\]

    D) \[\pi /8\]

    Correct Answer: C

    Solution :

    \[0<x<10\,;\]                 \[{{x}^{2}}+{{y}^{2}}<100\]
    \[0<y<10\]
    \[p=\frac{\frac{1}{4}\pi \times {{10}^{2}}}{10\times 10}\]


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