JEE Main & Advanced Mathematics Conic Sections Question Bank Ellipse

  • question_answer
    Eccentricity of the conic \[16{{x}^{2}}+7{{y}^{2}}=112\]is   [MNR 1981]

    A)            \[3/\sqrt{7}\]                            

    B)            7/16

    C)            3/4 

    D)            4/3

    Correct Answer: C

    Solution :

               \[\frac{{{x}^{2}}}{\frac{112}{16}}+\frac{{{y}^{2}}}{\frac{112}{7}}=1\]. Therefore,\[e=\sqrt{1-\frac{112}{16}.\frac{7}{112}}=\frac{3}{4}\]


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