Edit MetaData
9 years, 6 months ago
7 years, 9 months ago
Prameela and vikas answered very well. Yes answer can be solved easily by using Arithmetic and Geometric mean. Download and Learn formulas of Progressions and series. It will help you to solve this question easily.
9 years, 6 months ago
Minimum value of (1/x-1)(1/y-1)(1/z-1) will be 8 (I think question should be modified here)
Solution:
As we know, for positive real numbers A.M. >= G.M.
Hence x+y+z >= (xyz)^(1/3) or xyz <= 1/27
Now equality will hold true only when x=y=z=1/3 (As expression will get reduced to (1-x)(1-y)(1-z)/xyz and expression to be minimum xyz should be maximum)
After putting values, we will value of expression as 8.
Hope it will help. :)
Day-wise Structured & Planned Preparation Guide
By proceeding you agree to create your account
Free CAT Schedule PDF will be sent to your email address soon !!!