Find the equations of the lines through the point (3, 2) which make acute angle `45^@` with the line x -2y = 3.

Find the equation of the lines through the point (3,2) which make an angle of 45^@ with the line x-2y=3.

Find the equations of the lines, which pass through the point (4, 5) and make equal angles with the lines 5x -12y + 6 = 0 and 3x = 4y + 7.

Find the equation of a line through the origin, which makes an angle of 45^@ with the positive direction of x-axis.

Find the equations of the st. lines which pass through (4, 5) and make angle 45^@ with the st. line 2x + y + 1 =0.

Find the equations of the line passing through the point (1, -2, 3) and parallel to the planes x -y + 2z = 3 and 3x + 2y - z = 4.

Find the equation of the line drawn through the point (1, 0,2) to meet at right angles to the line (x+1)/(3)=(y-2)/(-2)=(z+1)/(-1) .

Find the equations of the line through the point (1,2,4) and parallel to the line 3x+2y-z=4, x-2y-2z=5.

Find equation of the line through the point (0, 2) making an angle (2pi)/3 with the positive x-axis. Also, find the equation of line parallel to it and crossing the y-axis at a distance of 2 units below the origin.

Find the equation of the st. line through the origin making angle of 60^@ with the st. line x +sqrt3y + 3sqrt3=0 .