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

  • question_answer
    \[a{{x}^{2}}+2{{y}^{2}}+2bxy+2x-y+c=0\] represents a circle through the origin, if                                      [MP PET 1984]

    A)            \[a=0,\ b=0,\ c=2\]                

    B)            \[a=1,\ b=0,\ c=0\]

    C)            \[a=2,\ b=2,\ c=0\]                

    D)            \[a=2,\ b=0,\ c=0\]

    Correct Answer: D

    Solution :

               See condition for circle and also condition for circle to pass through origin i.e. origin satisfies equation of circle or\[c=0\].


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