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

The function f(x)=min{sin[m]x,|x|} and f(x) has period of π where [] denotes greatest integer function , then

A
m{4}
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
m[3,4)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
m[4,5)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
None of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is D m[4,5)
Given f(x)=min{sin[m]x,|x|}
f(x)=sin[m]x(sinpx|x|p,x)
Given ,period of sin[m]x=π
2π[m]=π
[m]=4
mϵ[4,5)i.e.4m<5

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Basic Theorems in Differentiation
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon