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


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