KVPY Sample Paper KVPY Stream-SX Model Paper-22

  • question_answer
    Average length of all vertical chords of the curve \[y=\sqrt{4-{{x}^{2}}}\]is

    A) \[\frac{\pi }{2}\]

    B)  \[\frac{\pi }{4}\]

    C) \[\frac{\pi }{6}\]

    D) \[\pi \]

    Correct Answer: A

    Solution :

    \[y=\sqrt{4-{{x}^{2}}}\]
    \[<y{{>}_{\text{avg}}}=\frac{\int\limits_{-\,2}^{2}{\sqrt{4-{{x}^{2}}}}dx}{4}\]


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