Question

Find the inclination of the line:

(i) x+√3y+6 = 0

(ii) 3x+3y+8 = 0

(iii) √3x - y - 4 = 0

Answer 1

(i) Given equation is x+√3y+6 = 0

= \(\frac{5\pi}{6}\) 3x+3y = 8

Conclusion: Inclination x+√3y+6 = 0 of the line is 5π/6

3y = 8 - 3x

(ii) Given equation is

Conclusion: Inclination of line 3x+3y+8 = 0 is 3π/4

(iii) Given equation is √3x - y - 4 = 0

Conclusion: Inclination of the line is π/3