JEE Main & Advanced JEE Main Paper (Held on 12-4-2019 Afternoon)

  • question_answer
    An ellipse, with foci at (0, 2) and (0, -2) and minor axis of length 4, passes through which of the following points? [JEE Main 12-4-2019 Afternoon]

    A) \[(1,2\sqrt{2})\]                      

    B) \[(2,\sqrt{2})\]

    C) \[(2,2\sqrt{2})\]                      

    D) \[(\sqrt{2},2)\]

    Correct Answer: D

    Solution :

    given that be = 2 and a = 2 (here a < b) \[\because \]\[{{a}^{2}}={{b}^{2}}(1-{{e}^{2}})\] \[\therefore \]\[{{b}^{2}}=8\] \[\therefore \]equation of ellipse\[\frac{{{x}^{2}}}{4}+\frac{{{y}^{2}}}{8}=1\]


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