Here, we have to find the equation of the line whose inclination is 5π/6 and which makes an intercept of 6 units on the negative direction of the y-axis As we know that, equation of a line whose slope is m and which makes an intercept c on the Y-axis is given by: y = mx + c Here, we have c=−6 and m=tan(
5π
6
)=tan(π−
π
6
)=−tan
π
6
=−
1
√3
So, the equation of the required line is: y=−
1
√3
×x−6 ⇒√3y=−x−6√3 So, the equation of the required line is x+√3y+6√3=0 Hence, option A is the correct answer.