Question

Find the equation of lines passing through (1,2) and making angle 30 degree with y axis

Answer 1

Answer:

y - √3x - 2 + √3 = 0

Step-by-step explanation:

Given that it makes 30° with y-axis, then 60° with x-axis.

Hence, θ = 60°.

We know that the equation for the lines is:

y - y₁ = m(x - x₁)   ---- (i)

Calculate slope(m):

Since the lines makes an 60° degree angle with x-axis, then

m = tan 60° = √3

Substitute m = √3 in (i) and substitute (1,2), we get

y - 2 = √3(x - 1)

y - 2 = √3x - √3

y - √3x - 2 + √3 = 0

Hope it helps!

Answer 2

Step-by-step explanation:

hope this helps to you yessss