If the distance from point P (a, 3) to the line 4x-3y + 1 = 0 is equal to 4 and in the plane region represented by the inequality 2x + Y-3 < 0, then the coordinates of point P are______ .

If the distance from point P (a, 3) to the line 4x-3y + 1 = 0 is equal to 4 and in the plane region represented by the inequality 2x + Y-3 < 0, then the coordinates of point P are______ .

The distance between point P and line 4x-3y + 1 = 0 d = | 4A − 9 + 1 | 42 + (− 3) & nbsp; 2 = 4, then 4a-8 = 20 or 4a-8 = - 20, the solution is a = 7 or - 3, because point P is in the plane region represented by inequality 2x + Y-3 < 0, as shown in the figure