JEE Main & Advanced Mathematics Circle and System of Circles Question Bank Equations of circle, Geometrical problems regarding circle

  • question_answer
    The equation \[2{{x}^{2}}+2{{y}^{2}}+4x+8y+15=0\] represents  [Roorkee 1999]

    A)            A pair of straight lines             

    B)            A circle

    C)            An ellipse                                 

    D)            None of these

    Correct Answer: D

    Solution :

               Given equation is \[2{{x}^{2}}+2{{y}^{2}}+4x+8y+15=0\]                    Þ  \[{{(x+1)}^{2}}+{{(y+2)}^{2}}=-\frac{5}{2}\]                    which is not possible, as left hand term is a non-negative term.


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