JEE Main & Advanced Mathematics Conic Sections Question Bank Ellipse

  • question_answer
    If the line \[y=2x+c\] be a tangent to the ellipse \[\frac{{{x}^{2}}}{8}+\frac{{{y}^{2}}}{4}=1\], then \[c=\]       [MNR 1979; DCE 2000]

    A)            \[\pm 4\]                                  

    B)            \[\pm 6\]

    C)            \[\pm 1\]                                  

    D)            \[\pm 8\]

    Correct Answer: B

    Solution :

               \[c=\pm \sqrt{{{b}^{2}}+{{a}^{2}}{{m}^{2}}}=\pm \sqrt{4+8.4}=\pm 6\].


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