JEE Main & Advanced Mathematics Conic Sections Question Bank Ellipse

  • question_answer
    The lengths of major and minor axis of an ellipse are 10 and 8 respectively and its major axis along the y-axis. The equation of the ellipse referred to its centre as origin is   [Pb. CET 2003]

    A)            \[\frac{{{x}^{2}}}{25}+\frac{{{y}^{2}}}{16}=1\]                            

    B)            \[\frac{{{x}^{2}}}{16}+\frac{{{y}^{2}}}{25}=1\]

    C)            \[\frac{{{x}^{2}}}{100}+\frac{{{y}^{2}}}{64}=1\]                          

    D)            \[\frac{{{x}^{2}}}{64}+\frac{{{y}^{2}}}{100}=1\]

    Correct Answer: B

    Solution :

               Here given that \[2b=10,\,2a=8\] Þ \[b=5,\,\,a=4\]            Hence the required equation is \[\frac{{{x}^{2}}}{16}+\frac{{{y}^{2}}}{25}=1\].


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