The difficult problem of equation of straight line and circle It is known that the circle C satisfies the following three conditions: 1. The chord length obtained by cutting the y-axis is 2. 2. The ratio of the arc length of two arcs divided by the axis is 3:1. 3. The distance between the center of the circle C and the straight line x-2y is 5 / 5. Find the equation of circle C

It is known that the chord length of a circle satisfies the following conditions: (1) the chord length obtained by cutting Y-axis is 2; (2) it is divided into two arcs by x-axis, and the ratio of arc length is 3:1; (3) the distance from the center of the circle to the straight line l: x-2y = 0 is √ 5 / 5. The equation for finding a circle is (x-a) & sup2; + (y-b) & sup2; = R & sup2; (1) the distance from the center of the circle m (a, b) to the straight line x-2y = 0 is √ 5 / 5

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