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Homework Help: Equally inclined tangents of an ellipse

  1. Aug 26, 2016 #1
    1. The problem statement, all variables and given/known data
    Find the equation of the tangents to the ellipse 4x^2+9y^2 = 36 which are equally inclined to the x and y-axis.

    2. Relevant equations
    Quadratic discriminant

    3. The attempt at a solution
    First I substituted y=mx+c into the ellipse, and determined its discriminant, and got c^2 = 9m^2 + 4
  2. jcsd
  3. Aug 26, 2016 #2


    Staff: Mentor

    Doesn't "equally inclined" to the x and y axes mean that the slopes of the tangent lines have to be 1 or -1?

    Also, I'm reasonably sure that this is a calculus problem, so it should not be posted in the Precalc section. I'm moving it to the Calc & Beyond section.
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