Find the equation of a line for which
p = 8, α = 225°
Given p = 8, α = 225°
Concept Used:
Equation of line in normal form.
Explanation:
So, the equation of the line in normal form is
Formula Used: x cos α + y sin α = p
x cos 225° + y sin 225° = 8
We know, cos (180° + θ) = – cos θ , sin (180° + θ) = – sin θ
⇒ – cos 45° – ysin 45° = 8
⇒
⇒ x + y + 8√2 = 0
Hence, the equation of line in normal form is x + y + 8√2 = 0