If \[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}=1\] where \[a,\text{ }b,\text{ }c\text{ }\in \,\,R\text{ }\], then the maximum value of\[{{(4a-3b)}^{2}}+{{(5b-4c)}^{2}}+{{(3c-5a)}^{2}}\] is

If \[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}=1\] where \[a,\text{ }b,\text{ }c\t

1.	If \[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}=1\] where \[a,\text{ }b,\text{ }c\text{ }\in \,\,R\text{ }\], then the maximum value of\[{{(4a-3b)}^{2}}+{{(5b-4c)}^{2}}+{{(3c-5a)}^{2}}\] is
A.	25
B.	50
C.	144
D.	None of these
Answer» C. 144

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If \[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}=1\] where \[a,\text{ }b,\text{ }c\text{ }\in \,\,R\text{ }\], then the maximum value of\[{{(4a-3b)}^{2}}+{{(5b-4c)}^{2}}+{{(3c-5a)}^{2}}\] is

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