If a^ 2 +b^ 2 +c^ 2 =1 where a, b, c ∈ R, the the maximum value of (4 a-3 b)^ 2 +(5 b-4…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
If \(a^{2}+b^{2}+c^{2}=1\) where a, b, c ∈ R, the the maximum value of \((4 a-3 b)^{2}+(5 b-4 c)^{2}+(3 c-5 a)^{2}\) is
- 25
- 50
- 144
- none of these
Answer
(C) 144
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