Question

Find the equation of the line passing through(1,2) and making an angle of 30 degree with y intercept

Answer 1

Equation of the straight line passing through the point ( 1,2 ) and having the slope

x - √3y -1+2√3 =0

Explanation:

Step(i):-

Given that the point (1,2) and an angle = ∝ = 30°

The slope of the line

m = tan 30°

`m = (1)/(√(3) ) }`

Step(ii):-

Equation of the straight line passing through the point ( 1,2 ) and having the slope

`m = (1)/(√(3) ) }`

y - y₁ = m(x-x₁)

y - 2 =
`(1)/(√(3) ) }` ( x -1)

√3(y-2) = (x-1)

⇒ √3y - 2√3 = x -1

x - √3y -1+2√3 =0