Q. 1 B
Find the equation of a line for which
p = 4, α = 150°
Answer :
Given: p = 4, α = 150°
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 150° + y sin 150° = 4
cos (180° – θ) = – cos θ , sin (180° – θ) = sin θ
⇒ x cos(180° – 30°) + y sin(180° – 30°) = 4
⇒ – x cos 30° + y sin 30° = 4
⇒ 
⇒ √3x – y + 8 = 0
Hence, the equation of line in normal form is √3 x – y + 8 = 0
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