Equally inclined tangents of an ellipse

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1. Aug 26, 2016

sooyong94

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

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. Aug 26, 2016

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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