8.1.4.27 Geometric and Physical Applications

Condition: find a line passing through a point \ (m_ {0} \), if a segment of any tangent between the touch point and the axis \ (o y \) is divided at the intersection point with the abscissa axis in relation to \ (a: b \) (considering from the axis \ (o y \)). \ [M_ {0} (1,2), \ quad a: b = 2: 1 \ text {. } \]