Question

Find the equation of the line which intersects the y-axis at a distance of 2 units above the origin and makes an angle of 30° with the positive direction of the x-axis.

Answer 1

Answer:

Step-by-step explanation:7

Answer 2

Answer:

$x - \sqrt{3}y+2\sqrt{3}=0$

Step-by-step explanation:

This question can be solved using the form

$y = mx + c$

Where c represents intercept made by the line with the y-axis[c can be positive or negative depending on whether the line touches positive or negative y-axis respectively], and m represents the slope of line w.r.t positive x-axis[which is tan of angle made by the line with postive x-axis]

Therefore,

$m=tan30^0 = \frac{1}{\sqrt{3} }$

$c = 2$

Therefore equation of the line is

$y = \frac{x}{\sqrt{3}}+2$

(OR)

$x - \sqrt{3}y+2\sqrt{3}=0$