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

Find slope of the line that makes angle pi/6

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 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.

Let PM be the perpendicular form the point P(1,2,3) to the x-y plnae. If vec(OP) makes an angletheta with the positive driection of the z-axis and vec(OM) makes an anglephi with the positive direction of x-axis, where O is the origin and thetaandphi are acute angles, then

A line passing through the point (3, 0) makes an angle 30^@ with the positive direction of x-axis. If this line is rotated through an angie of 15^@ in clockwise direction, find its equation in new position.

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

The length of perpendicular from the origin to a line is 9 and the line makes an angle of 120^(@) witth the positive direction of Y - axes . Find the equation of the line .

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

If the equation of the pair of straight lines passing through the point (1,1) , one making an angle theta with the positive direction of the x-axis and the other making the same angle with the positive direction of the y-axis, is x^2-(a+2)x y+y^2+a(x+y-1)=0,a!=2, then the value of sin2theta is