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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2004

  • question_answer
        The length 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 :

    A)  \[x{{x}_{1}}+y{{y}_{1}}={{a}^{2}}\]                         

    B)  \[{{x}^{2}}+{{y}^{2}}-2x-4y-20=0\]

    C)  \[{{x}^{2}}+{{y}^{2}}+18x+16y+120=0\]               

    D)  \[{{x}^{2}}+{{y}^{2}}-18x-16y+120=0\]

    Correct Answer: B

    Solution :

                    Here given that \[2b=10,\text{ }2a=8\] \[b=5\]and\[a=4\] \[\therefore \]Required equation of ellipse is \[\frac{{{x}^{2}}}{16}+\frac{{{y}^{2}}}{25}=1\]


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