Question

Find the equation of the straight line which makes the following angle with the positive x axis in the positive direction and which passes through the points given below
1.π\3 and (1,2)
2.150° and (-2,-1)​

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