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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2001

  • question_answer
    If\[{{e}_{1}}\]and\[{{e}_{2}}\]are the eccentricities of two conies with\[e_{1}^{2}+e_{2}^{2}=3,\]then the conies are:

    A)  ellipses               

    B)  parabolas

    C)  circles                  

    D)         hyperbolas

    E)  none of these

    Correct Answer: D

    Solution :

    For ellipse or parabola \[e_{1}^{2}+e_{2}^{2}\le 2\ne 3,\]it is possible only for hyperbola\[(\because {{e}_{1}}>1\,and\,{{e}_{2}}>1)\]


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