P is a point on either of the two lines y-3x=2 at a distance of 5 units from their point of intersection. The coordinates of the foot of the perpendicular from P on the bisector of the angle between them are

Equation, of two lines are y=3x+2, if   x≥0  and y=-3x+2, if   x≥0Clearly, y≥2Also, y-axis is the bisector of the angle between the two lines. P1,P2 are two points on these lines, at a distance 5 units from A.. Q is the foot of the ⊥ from P1 and P2 on the bisector (y-axis). Then, the coordinates of Q are (0, 2 + 5 cos 30º)=0,2+532=0,124+53