The ellipse x^2 + 4y^2 = 4 and the hyperbola x^2 - my^2 = 1 are tangent. Compute m.
Mmmmm....I find that the hyperbola x^2/4 + y^2 = 1 tangent to the ellipse x^2 + 4y^2 = 4 at (-2,0) and (2, 0)
See here : https://www.desmos.com/calculator/kiwougm8h6