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JEE Main & Advanced Mathematics Circle and System of Circles Question Bank System of circles

  • question_answer
    The circles \[{{x}^{2}}+{{y}^{2}}+4x+6y+3=0\] and \[2({{x}^{2}}+{{y}^{2}})+6x+4y+C=0\] will cut orthogonally, if  C equals  [Kurukshetra CEE 1996]

    A)            4    

    B)            18

    C)            12  

    D)            16

    Correct Answer: B

    Solution :

                       \[2\times 2\times \frac{3}{2}+2\times 3\times 1=3+\frac{C}{2}\Rightarrow C=18\].


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