JEE Main & Advanced Mathematics Conic Sections Question Bank Ellipse

  • question_answer
     The eccentricity of the ellipse \[25{{x}^{2}}+16{{y}^{2}}=400\] is [MP PET 2001]

    A)            3/5 

    B)            1/3

    C)            2/5 

    D)            1/5

    Correct Answer: A

    Solution :

               \[\frac{{{x}^{2}}}{16}+\frac{{{y}^{2}}}{25}=1\] \[\Rightarrow \,{{a}^{2}}={{b}^{2}}\,\,(1-{{e}^{2}})\]            \[\Rightarrow \,{{e}^{2}}=1-\frac{16}{25}\,\,\,\Rightarrow \,e=3/5\].


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