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

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.

A line through the point A (2, 0), which makes an angle of 30^@ with the positive direction of x-axis is rotated about A in clockwise direction through an angle 15^@ . Then the equation of the straight line in the new position is :

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

A line passes through the points (6,-7,-1)a n d(2,-3,1)dot Find the direction cosines of the line if the line makes an acute angle with the positive direction of the x-axis.

Find the slope of the line, which makes an angle of 30^@ with the positive direction of y-axis, measured anticlockwise.

Find the slope of the line, which makes an angle of 30^@ with the positive direction of y-axis measured anticlockwise.

A square of side a lies above the X- axis and has one vertex at the origin . The side passing through the origin makes an angle pi//6 with the positive direction of X-axis .The equation of its diagonal not passing through the origin is y(sqrt(3)-1)-x(1-sqrt(3))=2a y(sqrt(3)+1) +x(1-sqrt(3))=2a y(sqrt(3)+1)+x(1+sqrt(3)) =2a y(sqrt(3)+1)+x(sqrt(3)-1)=2a

Find slope of the line that makes angle (2pi)/3 with the positive direction of x-axis.