CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A point on the parabola y2=18x at which the ordinate increases at twice the rate of the abscissa is:

A
(2,4)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
(2,4)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(98,92)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
(98,92)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is B (98,92)
Equation of parabola is y2=18x
Differentiating w.r.t t
2ydydt=18dxdt2.2y=18y=92(dydt=2dxdt)
Therefore from equation of parabola
(92)2=18x814=18xx=814×18x=98
Therefore point is (98,92)

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Rate of Change
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon