Mathematics

Mathematics

Problem

A lighthouse located at the origin emits light beams. An island is modeled as a circle defined by x2+y2−20x−16y+139=0x^{2} + y^{2} - 20x - 16y + 139 = 0. Determine the equation of the 'Chord of Contact' representing the line connecting the two points on the island's coast where the light beams graze the island.

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