Question

Q12. Find equation of the line through the point (0, 2) making an angle
2π/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.​

Answer 1

Answer:

Tan(2*pi/3) = -1.732

Equation of line

$\frac{y - 2}{x - 0} = -1.732 \\ 1.732 \: x + y = 2$

equation of line parallel to it and crossing the y-axis at a distance of 2 units below the origin

$\frac{y + 2}{x} = - 1.732 \\ 1.732 \: x + y = - 2$