In the plane rectangular coordinate system, a (1,0), B (5,0), point C is on the y-axis, and s △ ABC = 4, find the coordinates of point C

Let the coordinates of point C be (0, t). According to the meaning of the question, we get 12 × (5-1) ×| t | = 4, and the solution is t = ± 2, so the coordinates of point C are (0, 2) or (0, - 2)

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