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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 \[\frac{K{{(x+1)}^{2}}}{3}+\frac{{{(y+2)}^{2}}}{4}=1\] represents a circle, then \[K=\]                                     [MP PET 1994]

    A)            3/4 

    B)            1

    C)            4/3 

    D)            12

    Correct Answer: A

    Solution :

               It represents a circle, if \[a=b\Rightarrow \frac{k}{3}=\frac{1}{4}\Rightarrow k=\frac{3}{4}\].


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