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17 April, 02:42

Find the two horizontal and two vertical tangent lines of the equation x^2+xy+y^2=9.

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  1. 17 April, 02:54
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    Differentiating w. r. t y,

    We get,

    2 x (d x/d y) + y (d x/d y) + x + 2 y = 0

    Put

    d x/d y = 0

    The equation becomes:

    x=2 y

    substituting into main equation

    We, get

    3 y^2 = 9

    y = √3

    x = ± 2√3
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