Question

If a line makes an inclination of π/3 with the positive direction of x–axis , find the slope of the line
​

Answer 1

Step-by-step explanation:

Given, perpendicular distance of line from origin is p=5 units.

And angle makes with positive direction of x is ω=

3

π

.

Hence, equation of line which makes angle ω with positive direction of x

And

line has distance p from the origin is xcosω+ysinω=p

∴xcos

3

π

+ysin

3

π

=5

2

1

x+

2

3

y=5

x+

3

y=10