Find the equation of circle C with the center of circle C on the straight line y = 2x and passing through the origin O and point m (3,1)

Find the equation of circle C with the center of circle C on the straight line y = 2x and passing through the origin O and point m (3,1)

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From the problem, CO = cm, ∧ C is on the vertical line of OM
The equation of the middle vertical line can be obtained: y = - 3x + 5, and y = 2x
Get the center coordinates (1,2)
Radius cm = √ 5
The circular equation is (x-1) & sup2; + (Y-2) & sup2; = 5