Q. 1 C5.0( 1 Vote )

# Find the equation of a line for which

p = 8, α = 225°

Answer :

**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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