CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

The distance, from the origin, of the normal to the curve,x=2cost+2tsint,y=2sint2tcost, at t=π4,is:
  1. 4
  2. 2
  3. 2
  4. 22


Solution

The correct option is C 2
x=2cost+2tsint,dxdt=2tcosty=2sint2tcostdydt=2tsintdydx=tant
So, slope of normal at t=π4 is 1tant=1 
Equation of normal at
t=π4x+y22=0
Distance of normal form the Origin= 221+1=2 units
 

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More


People also searched for
View More



footer-image