Question

Find the equation of straight line passing through 1, 2 making an angle 30 degree with the positive direction of y axis

Answer 1

this is an equation of required line...

Answer 2

Answer:

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

Step-by-step explanation:

Given that, angle with Y- axis = 30°

angle with X- axis = 60°

∴ Slope of the line, m = tan 60° =  √3

So, the equation of a line passing through (1,2) and having slope  √3, is

$\: \: \: \: \: \: \: \: y - 2 = \sqrt{3} (x - 1) \\ = > y - 2 = \sqrt{3x} - \sqrt{3} \\ = > y - \sqrt{3x} - 2 + \sqrt{3} = 0$