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JEE Main & Advanced Mathematics Conic Sections Question Bank Ellipse

  • question_answer
    The angle between the pair of tangents drawn to the ellipse \[3{{x}^{2}}+2{{y}^{2}}=5\] from the point (1, 2), is          [MNR 1984]

    A)            \[{{\tan }^{-1}}\left( \frac{12}{5} \right)\]                                  

    B)            \[{{\tan }^{-1}}(6\sqrt{5})\]

    C)            \[{{\tan }^{-1}}\left( \frac{12}{\sqrt{5}} \right)\]                       

    D)            \[{{\tan }^{-1}}(12\sqrt{5})\]

    Correct Answer: C

    Solution :

               \[S{{S}_{1}}={{T}^{2}}\]            \[\tan \theta =2\frac{\sqrt{{{h}^{2}}-ab}}{a+b},\,a=9\], \[b=-4\]and\[h=-12\].


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