Q2 of 319 Page 24

Reduce the following equations to the normal form and find p and α in each case :
y – 2 = 0

Given: y – 2 = 0

Explanation:

⇒ y = 2

⇒ 0*x + y = 2

Dividing both sides by

⇒ 0 * x + y = 2

Hence, the normal form of the given line, where p = 2, cosα = 0 and sin α = 1

⇒ α = 90

Reduce the following equations to the normal form and find p and α in each case :

x – 3 = 0

Put the equation the slope intercept form and find its slope and y - intercept.

Reduce the lines 3x – 4y + 4 = 0 and 2x + 4y – 5 = 0 to the normal form and hence find which line is nearer to the origin.

Reduce the following equations to the normal form and find p and α in each case :y – 2 = 0