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

Use HM AM and find maximum value of xyx+y + yzy+z + xzx+z


A

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

x + y + z

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D

2(xy + yz + xz)

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C


From AMGMHM

We know that AM HM and GM HM

(i) x+y2 2xyx+y xyx+y 14(x+y) --------(1)

y+z2 2yzy+z yzy+z 14(y + z) --------(2)

Similarly xzx+z 14(x + z) --------------------(3)

Adding (1), (2) and (3),

xyx+y + yzy+z + xzx+z 14(2x + 2y + 2z)

12(x + y + z)


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Relation between AM, GM and HM
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon