If the angle between two lines is `pi/4` and slope of one line is 1/2,find the slope of the other line.

the distance between two vertical poles is 100m and the height of one of them is double the other. The angle of elevation of their tops at the middle point of the line joining their feet are complimentary. Find the height.

Find the angle between the lines x-sqrt 3y=1 and sqrt 3x-y=1 .

Find the angle between the lines, whose direction ratios are 2,3,6 and 1,2,2.

Find the acute angle between the lines x - sqrt3 y = 1 and sqrt3 x -y = 4

Find the distance between the line 12x-5y+9=0 and the point (2,1).

Find the point on the curve y = 2x^2 at which the slope of the tangent is 6.

Find the slope of the line joining the following points and hence write down the inclination of the line to the positive X-axis. (i) (3, 4) and (-2, -1)

Find the slope of the line joining the following points and hence write down the inclination of the line to the positive X-axis. (ii) (-1, sqrt 3 ) and (3, -3 sqrt 3 )

Why don't two magnetic lines of force intersect each other ?