Find the equations of the lines passing thorugh (1,2) and making an angle of `30^@` with y-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 equation of the line passing through the point (-1,1) and (2,4).

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.

Show that the equation of the line passing through the origin and making an angle theta with the line y=mx+c is y/x = (m+-tan theta)/(1 overset(-)(+)m tan theta) .

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

Find the equation of a st. line, which passes through the point (-2,3) and makes an angle of 60^@ with the positive direction of x-axis.

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 line passing through the point (-1,3,-2) and perpendicular to the lines : x/1=y/2=z/3 and (x+2)/-3=(y-1)/2=(z+1)/5 .