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

If log12sinx0, x[0,4π], then the number of values of x which are integral multiples of π4 is/are

A
6
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
12
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
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 A 6
log12sinx0, where x[0,4π]
Above equation is valid when sinx>0
x(0,π)(2π,3π)
log12sinx0
sinx1
For, x(0,π)(2π,3π)
Values of x which are integral multiples of π4 are {π4,2π4,3π4,9π4,10π4,11π4}
Ans: A

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Special Integrals - 1
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon