Consider the ellipse \[\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1,\]where $a > b.$ As a function of $a$ and $b,$ find the radius of the smallest circle that contains the ellipse, is centered on the $y$-axis, and which intersects the ellipse only at $(0,b).$
I didn't even put it in, because I didn't show the form of the answer, it has to be a fraction, may this be a an attention, when a guest gives an explanation that is reasonable you may use the answer, like these,
the standard form
Usinf the: [Theory], this is the [Answer]
i have reposted this 3 times and the guests have used the same format and got three incorrect answers
