Fill in the blanks:
Equations of the lines through the point (3,2) and making an angle of `45^@` with the line `x-2y = 3` are……………….

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

Find the equations of the two straight lines through (7,9) and making and angle of 60^0 with the line x-sqrt(3)y-2sqrt(3)=0.

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

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 eq^(ns) of lines passing through the point (2, 3) and inclined at an angle pi/4 to the line 2x+3y =5

Find the vector equation of the line through the point (2,-1,-1) and is parallel to the line 6x-2=3y+1=2z-2 .