Equation of Straight line in Normal Form. it Helps to Students of Secondary Level.....

1. Mr. Mohan Pudasaini
COORDINATE GEOMETRY
Class :9

2. Mr. Mohan Pudasaini
Y
B
M
p
X’ O
A X
Y
’

3. Mr. Mohan Pudasaini
Y
B
Angle made in X-axis =
Then, APN=
M
P(x,y
p )
X’ O N A X
Let P(x,y) be any point on the line AB
Y
Draw a perpendicular from P to OA
’

4. Mr. Mohan Pudasaini
Y
B
Now, In triangle PNA
Tan =
NA= y Tan
M
P(x,y
And In triangle OMA p )
Cos =
Cos = X’ O N A X
Cos =
Y
’

5. Mr. Mohan Pudasaini
Find the equation of the line if p=4 and =1350
Equation of the line is
xcos +ysin =p
Or, xcos1350+ysin1350=4
Or,x(- )+y( )=4
X-y+4 =0