A Quadrilateral Hidden in Coordinates

Problem

Points $A(x_1, y_1)$ , $B(x_2, y_2)$ , $C(x_3, y_3)$ lie on the circle

x^2 + y^2 = 2x - 4y.

Find the maximum value of

m = x_1 y_2 - x_2 y_1 + x_2 y_3 - x_3 y_2.

Answer

Solution

Difficulty	7/10
Topics	Circles, analytic geometry

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