JEE Main & Advanced Mathematics Differential Equations Question Bank Order and degree of differential equations

  • question_answer
    The differential equation of all circles of radius a is of order

    A)                 2             

    B)                 3

    C)                 4             

    D)                 None of these

    Correct Answer: A

    Solution :

                    The equation of the family of circles of radius a is \[{{(x-h)}^{2}}+{{(y-k)}^{2}}={{a}^{2}}\]which is a two parameter family of curves. So its differential equation is of order two.


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