Find the equation of the line through the origin, which is at right angles to the line `2x + 5y - 11 = 0`.

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 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 two lines through the origin which intersect the line (x-3)/2=(y-3)/1=z/1 at angle of pi/3 each.

Find the equation of a line through the point (-2,3) and parallel to the line 3x-4y+2=0.

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

Find the equation of the lines through (- 2, -1) and are : perpendicular to the line y =x.

Find the equation of the tangent line to the curve x^2 + 3y =2 which is parallel to the line y - 4x + 5=0 .