Question

10. Reduce the equation x + y + 2 = 0 to the normal form and
find the values of p and alpha​

Answer 1

Answer:

P = 1 units & α = 45 or 225 .

Step-by-step explanation:

Given :

x + y - 2 = 0

x + y = - 2

Dividing by - 2 both side we get :

x / - 2 + y / - 2 = - 2 / - 2

x / - 2 + y / - 2 = 1

Now comparing it with :

x cos α + y sin α = P

We get :

P = 1 units .

cos α = - 1 / 2 or sin α = - 1 / 2

α = 45 or 225 .

Therefore we get answer.