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Question -

Reduce the following equations to the normal form and find p and α in each case:
(i) x + √3y – 4 = 0
(ii) x + y + √2 = 0



Answer -

(i) x + √3y – 4 = 0

x + √3y = 4

The normal form of thegiven line, where p = 2, cos α = 1/2 and sin α = √3/2

p = 2 and α = π/3

(ii) x + y + √2 = 0

-x – y = √2

The normal form of thegiven line, where p = 1, cos α = -1/√2 and sin α = -1/√2

p = 1 and α = 225o

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