CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2004

  • question_answer
    The circle\[{{x}^{2}}+{{y}^{2}}+8y-4=0,\]cuts the real circle\[{{x}^{2}}+{{y}^{2}}+gx+4=0,\]orthogonally, if\[g\]is:

    A)  any real number

    B)  for no real value of g

    C)  \[g=0\]

    D)  \[g<-2,g>2\]

    E)  \[g>0\]

    Correct Answer: A

    Solution :

    The given circles cuts orthogonally, if \[2{{g}_{1}}{{g}_{2}}+2{{f}_{1}}{{f}_{2}}={{c}_{1}}+{{c}_{2}}\] \[2\times \frac{g}{2}\times 0+2\times 4\times 0=4-4\]   This is true for any real value of\[g\].


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