Question

Let a and b be positive constants.

a.Find the equation of the line that is tangent to the ellipse: b^2x^2+a^2y^2=a^2b^2 in the first quadrant and forms, with the coordinate axes, the triangle with the smallest possible area.

b.Suppose that the constants a and b must satisfy a+b=1. With this additional constraint, what is the smallest possible area of the triangle from part a? For what values a and b does this occur?

Answer 1

Answer:

I can't answer this question because I have not any idea about this