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Know thine reflections - analytic geometry

Source: BMT 2019 Spring Algebra 2

October 8, 2021
geometryanalytic geometry

Problem Statement

Find the point p p in the first quadrant on the line y=2x y = 2x such that the distance between p p and p p' , the point reflected across the line y=x y = x , is equal to 32 \sqrt{32} .