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Find the equation of the circle circumscribing the triangle formed by the lines x + y = 6, 2x + y = 4 and x + 2y = 5.

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Solving the equations we get the coordinates of the triangle:

The required circle equation

⇒ 27(x2 + y2) - 459x - 513y + 1350 = 0

⇒ x2 + y2 - 17x - 19 + 50 = 0

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