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

If x = a cos t, y = a sin t, then d2ydx2at t = π4 is

A
a22
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
a22
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
22a
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
22a
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 22a
Clearly x2+y2=a2andy(π4)=,x(π4)=a2.
Differentiating we get,2x+2yy1=0
y1=xy, so y1(π4)=1.
Now x+yy1=0
1+y21+yy2=0
y2(π4)=1+(y1(π4))2y(π4)=22a

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Differentiating Inverse Trignometric Function
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon