wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The length of the normal at point ‘t’ of the curve x = a(t + sin t), y = a (1 - cos t) is
[RPET 2001]

A
a sin t
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
2a sin3(t/2)sec(t/2)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
2a sin(t / 2) tan(t/2)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
2a sin (t / 2)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 2a sin3(t/2)sec(t/2)
y=axn+1+bxndydx=(n+1)axnnbxn1
d2ydx2=n(n+1)axn1n(n+1)bxn2
x2 d2ydx2=n(n+1)y.

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