VIT Engineering VIT Engineering Solved Paper-2010

  • question_answer
    The degree of the differential equation of all curves having normal of constant length c is

    A)  1

    B)  3

    C)  4

    D)  None of these

    Correct Answer: D

    Solution :

    We have, length of normal = c \[\Rightarrow \] \[y\sqrt{1+{{\left( \frac{dy}{dx} \right)}^{2}}}=c\] \[\Rightarrow \] \[{{y}^{2}}\left[ 1+{{\left( \frac{dy}{dx} \right)}^{2}} \right]={{c}^{2}}\] Clearly, this is the differential equation of degree 2.


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