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

If f′′(x)=f(x) and g(x)=f(x) and F(x)=(f(x2))2+(g(x2))2 and given that F(5) =5 then F(10) is equal to

A
5
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
10
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
15
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 5
f(x)=f(x)andf(x)=g(x)
f′′(x).f(x)+f(x).f(x)=0
f(x)2+(f(x))2=c(f(x)2+(g(x))2=c
F(x)=cF(10)=5
Hence (A) is the correct answer.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Some Functions and Their Graphs
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon