The equation of the circle with the diameter of the line segment between the two coordinate axes 3x-4y + 12 = 0 is______ .
∵ for the line 3x-4y + 12 = 0, let x = 0, get y = 3; let y = 0, get x = - 4 ∵ the line 3x-4y + 12 = 0 intersects the x-axis at a (- 4,0), intersects the y-axis at B (0,3) ∵ the diameter of the circle is ab ∵ the radius of the circle is 12 | ab | ∵ the central point C coordinate of AB is (− 4 + 02,0 + 32), that is, C (- 2,32) 1
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