An ellipse passes through a focus of the hyperbola `x^2/9 - y^2/16 = 1` and its major and minor

An ellipse passes through a focus of the hyperbola `x^2/9 - y^2/16 = 1` and its major and minor axes coincide with the transverse and conjugate axes of the hyperbola and the product of eccentricities of ellipse and hyperbola is 1. Foci of the ellipse are (A) `(+- 4, 0)` (B) `(+-3, 0)` (C) `(+-5, 0)` (D) none of these