MIRRORS A hyperbolic mirror is a mirror in the shape of one branch of a hyperbola. Such

Chapter 0, Problem 43

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MIRRORS A hyperbolic mirror is a mirror in the shape of one branch of a hyperbola. Such a mirror reflects light rays directed at one focus toward the other focus. Suppose a hyperbolic mirror is modeled by the upper branch of the hyperbola with equation y2 9 - x2 16 = 1. A light source is located at (-10, 0). Where should the light from the source hit the mirror so that the light will be reflected to (0, -5)?

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