To find the length of the perpendicular


   
 
To find the length of the perpendicular from the point (x1,y1) on the line xcos a + ysin a = p
To find the length of the perpendicular from the point (x1,y1) on the line xcosa + ysina = p
 
 
Let AB represent the given line xcosa + ysina = p.
 
 
Let N' (x1, y1) be the given point.
 
 
Through N', draw B'N'A'|| BA, so that OM produced will meet B'A' at N.
 
Then, MN = M'N' = p'.
 
ON = OM + MN = p + p'
 
\The equation of the line A'N'B' is xcosa + ysina = p + p'
 
The point N'(x1, y1) lies on A'B'.
 
 
 
 
     
   
Get unlimited tutoring in Math, English, Physics, Chemistry, Biology, Algebra, Geometry and all other subjects at $99.99 per month!

(100% money-back guarantee)

Customer Care

Click to get customer service, technical support and subscription help.

Customer Care Chat


Refer-A-Friend

Get One Month Free!
When you refer a friend