Multiple Choice Questions on Given differential equation dy dx x y represents ........ for NDA Exam Preparation

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Multiple Choice Questions

Given differential equation dy dx x y represents ........

Mathematics (NDA) Differential Equations
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    Given differential equation dy/dx =  -x/y  represents?

    circle

    Correct Answer

    straight line

    Incorrect Answer

    eclipse

    Incorrect Answer

    Parabola

    Incorrect Answer
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    Explanation:

    dy/dx  =  -x/y  

    ? y dy    =   ?  -x dx

    y2/2   =  -x2/2  + c2/2

    y2/2   +  x2/2   = c2/2

    y2   +  x2   = c2

    Hence it represents a circle

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