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

  • question_answer
     If the equation \[p{{x}^{2}}+(2-q)xy+3{{y}^{2}}\] \[-6qx+30y+6q=0\] represents a circle, then the values of p and q are

    A)            3, 1

    B)            2, 2

    C)            3, 2

    D)            3, 4

    Correct Answer: C

    Solution :

               In the equation of circle, there is no term containing xy and coefficient of \[{{x}^{2}}\] and \[{{y}^{2}}\] are equal. Therefore \[2-q=0\Rightarrow q=2\] and\[p=3\].


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