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JEE Main & Advanced Mathematics Applications of Derivatives Question Bank Tangent and Normal

  • question_answer
    If normal to the curve \[y=f(x)\] is parallel to x-axis, then correct statement is                                    [RPET 2000]

    A)            \[\frac{dy}{dx}=0\]

    B)            \[\frac{dy}{dx}=1\]

    C)            \[\frac{dx}{dy}=0\]

    D)            None of these

    Correct Answer: C

    Solution :

                Slope of the normal = \[-\frac{1}{\left( \frac{dy}{dx} \right)}\]            This is parallel to x-axis Þ \[-\frac{1}{\left( \frac{dy}{dx} \right)}=0\]Þ \[\frac{dx}{dy}=0\].


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