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

  • question_answer
    The differential equation of all circles in the first quadrant which touch the coordinate axes is of order

    A)                 1             

    B)                 2

    C)                 3             

    D)                 None of these

    Correct Answer: A

    Solution :

                    The equation of the family of circle which touch both the axes is \[{{(x-a)}^{2}}+{{(y-a)}^{2}}={{a}^{2}},\]where a is a parameter. This is one parameter family of curves. So its differential equation is of order one.


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