Find the equation of the circle that passes through points (0, 0), (0, 4), and (6, 0).
Correct: A
Since (0, 0) is on the circle, the equation has the form x^2 + y^2 + Dx + Ey + F = 0. Plugging in (0, 0), we get F = 0. Plugging in (0, 4), we get 16 + 4E = 0, so E = -4. Plugging in (6, 0), we get 36 + 6D = 0, so D = -6. The equation is x^2 + y^2 - 6x - 4y = 0, but none of the options match this equation.