If , where , then the maximum value of…

MATHEMATICS · Single correct · IB Diploma Programme · Mathematics: Applications and Interpretation · Number and Algebra · Number and Algebra

Problem

a^2+b^2+c^2=1

, where

a,b,c\in\mathbb{R}

, then the maximum value of

(4a-3b)^2+(5b-4c)^2+(3c-5a)^2

is: (1) 25 (2) 50 (3) 144 (4) None of these