Question

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

Answer 1

Answer:

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

 x - √3y -1+2√3 =0

Step-by-step explanation:

Step(i):-

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

The slope of the line

             m = tan 30°

             $m = \frac{1}{\sqrt{3} } }$

Step(ii):-

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

 $m = \frac{1}{\sqrt{3} } }$

           y - y₁ = m(x-x₁)

          y - 2 = $\frac{1}{\sqrt{3} } }$ ( x -1)

        √3(y-2) = (x-1)

⇒       √3y - 2√3 = x -1

           x - √3y -1+2√3 =0