KVPY Sample Paper KVPY Stream-SX Model Paper-13

  • question_answer
    The minimum distance between a point on the curve \[y={{e}^{x}}\]and a point on the curve \[y={{\log }_{e}}x\] is

    A) \[\frac{1}{\sqrt{2}}\]

    B) \[\sqrt{2}\]

    C) \[\sqrt{3}\]        

    D) \[2\sqrt{2}\]     

    Correct Answer: B

    Solution :

    \[y={{e}^{x}}\]and \[y={{\log }_{e}}x\]are inverse of each other Minimum distance of the curve at (0, 1) and \[(1,0).\] \[\sqrt{1+1}=\sqrt{2}\]

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