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CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2003

  • question_answer
    The limiting points of the co-axial system of circles \[{{x}^{2}}+{{y}^{2}}+2\lambda y+4=0\] are :

    A)  \[(0\pm 4)\]                                     

    B)  \[(\pm 2,\,0)\]

    C)  \[(0,\pm 1)\]                                    

    D)  \[(0,\pm 2)\]

    Correct Answer: D

    Solution :

    The limiting points arc \[(0,\,+\lambda )\]                 \[r=\sqrt{0-{{\lambda }^{2}}-4}=0\]                 \[\lambda =\pm \,2\] So, limiting points arc \[(0,\pm \,2)\]


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