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KVPY Sample Paper KVPY Stream-SX Model Paper-29

  • question_answer
    The length of the chord of the parabola \[{{x}^{2}}=4y\] having equation\[x-\sqrt{2}y+4\sqrt{2}=0\] is:

    A) \[3\sqrt{2}\]

    B) \[2\sqrt{11}\]

    C) \[8\sqrt{2}\]

    D) \[6\sqrt{3}\]

    Correct Answer: D

    Solution :

    \[x=\sqrt{2}y-4\sqrt{2}\]
    \[{{x}^{2}}=4y\]
    Solving we get point of intersection
    \[A(-2\sqrt{2},2),B(4\sqrt{2},8)\]
    \[\therefore \]      \[AB=\sqrt{{{(6\sqrt{2})}^{2}}+{{6}^{2}}}=6\sqrt{3}.\]


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