8.1.4.27 Geometric and physical applications

condition: Find a line passing through the point \( M_{0} \), if the segment of any tangent between the point of tangency and the axis \( O Y \) is divided at the point of intersection with the x-axis in the ratio \( a: b \) (counting from the axis \( O Y \)). \[ M_{0}(1,2), \quad a: b=2: 1 \text {. } \]