Find the equation of a line for which p = 8, α = 225°
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Find the equation of a line for which p = 8, α = 225°
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° – y sin 45° = 8
⇒ \(-\frac{x}{\sqrt{2}}-\frac{y}{\sqrt{2}}=8\)
⇒ x + y + 8√2 = 0
Hence, the equation of line in normal form is x + y + 8√2 = 0