A line (2,3) makes an angle `(3pi)/4` with the negative direction of X- axis . Find the length of the line segment cut off between (2,3) and the line `x+y - 7 = 0`

If a line makes an angle (pi)/(4) with the positive directions of each of X-axis and Y-axis, then the angle that the line makes with the positive direction of the Z-axis is

Find the distance of the line 4x+7y+5=0 from the point (1,2) along the line 2x-y=0 .

Find equation of the line through the point (0,2) making an angle (2pi)/( 3) with the positive X -axis. Also, find the equation of line parallel to it and crossing the Y -axis at a distance of 2 units below the origin.

Find measure of an angle between the lines x = 3 and 2x - y - 5 = 0

Find the equation of the bisectors of the angle between the lines represented by 3x^2-5xy+y^2=0

Find the angle between the line (x+1)/(2)=y/3=(z-3)/(6) and the plane 10x + 2y – 11z = 3.

Find the angle between the line (x+1)/(2)=y/3=(z-3)/(6) and the plane 10x + 2y – 11z = 3.

The projection of a line segment on the axis 1, 2, 3 respectively. Then find the length of line segment.

The angle between the lines 2x=3y=-z and 6x=-y=-4z is