CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

The order of the differential equation of all tangent lines to the parabola y=x2 is


Correct Answer
A
1
Your Answer
B
2
Your Answer
C
2
Your Answer
D
4

Solution

The correct option is A 1
The parametric form of the given equation is x=t,y=t2. The equation of any tangent at t is
2xt=y+t2, Differentiating we get 2t=y1(=dydx)
putting this value in the above equation, we have 
2xv12=y+(y12)24xy1=4y+y21
The order of this equation is 1
Hence (A) is the correct answer

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More


People also searched for
View More



footer-image