11th Class Mathematics Sample Paper Maths Olympiad Model Test Paper-10

  • question_answer
    If the point of intersection of the \[\frac{{{x}^{2}}}{{{a}^{2}}}\,+\,\frac{{{y}^{2}}}{{{b}^{2}}}\,=\,1\] and \[\frac{{{x}^{2}}}{{{\alpha }^{2}}}+\frac{{{y}^{2}}}{{{\beta }^{2}}}=1\] are at the extremities of the conjugate diameters of the former, then ______.     

    A)  \[\frac{{{a}^{2}}}{{{\alpha }^{2}}}+\frac{{{b}^{2}}}{{{\beta }^{2}}}=2\]                     

    B)  \[\frac{{{\alpha }^{2}}}{{{a}^{2}}}-\frac{{{\beta }^{2}}}{{{b}^{2}}}=2\]

    C)  \[\frac{{{a}^{2}}}{{{\alpha }^{2}}}-\frac{{{b}^{2}}}{{{\beta }^{2}}}=2\]                       

    D)  All the above

    E)  None of these

    Correct Answer: A

    Solution :

     Not Available

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