A straight line L is drawn through the point `A(2,1)` is such that its point of intersection with `x+y=9` at distance of `3sqrt(2)` from A .Then angle made by L with positive direction of x -axis is

The angle made by the line sqrt(3)x-y+3=0 with the positive direction of X -axis is

Find the direction in which a straight line must be drawn through the point (1,2) so that its point of intersection with the line x+y=4 may be at a distance 1/3 sqrt(6) from this point

A straight line passes through the point (1,1,1) makes an angle 60^@ with the positive direction of z- axis, and the cosines of the angles made by it with the positive direction of y-axis and rates are in the ratio sqrt3:1 . What is the acute angle between the iwo posible positions of the line

Find the direction in which a straight line must be drawn through the point (1, 2) so that its point of intersection with the line x+y-4 may be at a distance of 3units from this point.

Find the angle made by the line x+sqrt3y-6=0 with the positive direction of the x-axis.

A line passes through the point (6, -7, -1) and (2, -3, 1). The direction cosines of the line so directed that the angle made by it with the positive direction of x-axis is acute, are