MathProblemsBank

3.2.4 Lines on a plane

Problem: Find the equation of the straight line at the distance \( \rho \) from the point \( A \) and the component with the axis \( O X \) twice the size of the angle of the straight line \( l \), if: \[ A(-1,2), \quad \rho=\sqrt{34}, \quad l: 2 x-6 y+5=0 . \]