If \( \mathrm{a}^{2}+b^{2}+c^{2}=1 \) where \( a, b, c \in R \), th...

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If \( \mathrm{a}^{2}+b^{2}+c^{2}=1 \) where \( a, b, c \in R \), then the
\( \mathrm{P} \) maximum value of \( (4 a-3 b)^{2}+ \)

W \( (5 \mathrm{~b}-4 \mathrm{c})^{2}+(3 \mathrm{c}-5 \mathrm{a})^{2} \) is
(1) 25
(2) 50
(3) 144
(4) None of these
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