Q. 84.8( 6 Votes )
Find the value of θ and p if the equation x cos θ + y sin θ = p is the normal form of the line 
.
Answer :
Given: the normal form of a line is x cos θ + y sin θ = p …..… (1)
To find:
P and θ.
Explanation:
Let us try to write down the equation √3 + y + 2 = 0 in its normal form.
Now √3 + y + 2 = 0
⇒ √3 + y = – 2
Dividing both sides by 2,
⇒ – √3/2 – y/2 = 1
…… (2)
Comparing equations (1) and (2) we get,
and p = 1
⇒ θ = 210° = 7π/6 and p = 1
Hence, θ = 210° = 7π/6 and p = 1
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