Coordinate Geometry: JEE Main 2020 Mathematics question

Let e₁ and e₂ be the eccentricities of the ellipse, ${{{x^2}} \over {25}} + {{{y^2}} \over {{b^2}}} = 1$(b < 5) and the hyperbola, ${{{x^2}} \over {16}} - {{{y^2}} \over {{b^2}}} = 1$ respectively satisfying e₁e₂ = 1. If $\alpha$ and $\beta$ are the distances between the foci of the ellipse and the foci of the hyperbola respectively, then the ordered pair ($\alpha$, $\beta$) is equal to :