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Manipal Engineering Manipal Engineering Solved Paper-2010

  • question_answer
    The number of real tangents that can be drawn to the ellipse\[3{{x}^{2}}+5{{y}^{2}}=32\]passing through (3, 5) is

    A)  0                            

    B)         1

    C)  2                            

    D)         infinite

    Correct Answer: C

    Solution :

    Since\[3{{(3)}^{2}}+5{{(5)}^{2}}-32>0\]. So, the given point lies outside the ellipse. Hence, two real tangents can be drawn from the point to the ellipse.


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