Find the equations of the lines through the point of intersection of the lines `x - y + 1 = 0 and 2x - 3y + 5 =0` and whose distance from the point `(3,2)` is `(7)/(5)`.

Find the equation of the line passing through the point of intersection of the lines 4x+7y-3=0 and 2x-3y+1=0 that has equal intercepts on the axes.

The equation of the line joining the point {3, 5) to the point of intersection of the lines 4x + y - 1 = 0 and 7x - 3y - 35 = 0 is equidistant from the points (0,0) and (8,34) .

Find the equation of the plane containing the line of intersection of the plane x + y + z-6 = 0 and 2x + 3y + 4z + 5 = 0 and passing through the point (1, 1, 1).

Find the equation of the line parallel to Y -axis and drawn through the point of intersection of the lines x-7y + 5=0 and 3x +y=0 .

Find the equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y + 4z = 5 which is perpendicular to the plane x - y + z = 0.

The distance of the point of intersection of the lines 2 x- 3y + 5 = 0 and 3x + 4y =0 from the line 5x-2y =0 is

Find the equation of the line passing through the point (3, 0, 1) and parallel to the planes x + 2y = 0 and 3y – z = 0.

The equation of the line passing through the point (1, 2) and perpendicular to the line x+y + 1 = 0 is

Find equation of line passes from point of intersection at lines 4x-3y - 1 =0 and 2x - 5y+3=0 which makes equal angle with axis.

Find the equation of line parallel to the Y- axis and drawn through the point of intersection of x-7+5 = 0 and 3x + y -7=0 .