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

If x>1,y>1,z>1 are in GP, then 11+ln x,11+ln y,11+ln z are in

A
AP
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
HP
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
GP
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 B HP
Let the common ratio of the GP be r. Then,
y=xr and z=xr2
ln y=ln x+ln r and ln z=ln x+2 ln r
Let A=1+ln x, D=ln r
Then, 11+ln x=1A,11+ln y=11+ln x+ln r=1A+D
and 11+ln z=11+ln x+2 ln r=1A+2D
Therefore, 11+ln x,11+ln y,11+ln z are in HP


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