Question -11

Algebra Level 4

If a 2 + b 2 + c 2 = 1 a^2+b^2+c^2=1 , then ( a b + b c + c a ) (ab+bc+ca) lies in the interval:

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[ 0 , 1 ] [0,1] [ 1 , 2 ] [1,2] [ − 1 2 , 1 ] [-\frac{1}{2},1] [ 0 , 1 2 ] [0,\frac{1}{2}]

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Sandeep Bhardwaj by Sandeep Bhardwaj , 28, India

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3 solutions

Phuong Nguyen
Mar 2, 2015

5 Helpful 0 Interesting 0 Brilliant 0 Confused
Cody Martin
Mar 2, 2015

https://brilliant.org/problems/new-year-countdown-7/?group=GmGCkwFgBeLF a similar problem !

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Adarsh Agrawal
Mar 17, 2018

Hint:- use RMS >= AM

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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