If `a + 2b + 2c = 11, 2a + b+ 2c = 10 and 2a+ 2b+ c = 9` , What is the value of a ?

If a + 2b + 3c = 24 and 3a + 2b + c = 36 what is the value of (a+b+c) ?

If a(a + b +c) =45, b(a +b+c)=75 and c (a +b+c) = 105 , then what is the value of (a^(2) + b^(2) + c^(2)) ?

If a^2+b^2+c^2=16 and a b+b c+c a=10 , find the value of a+b+c

If a+b+c=11, a^2+b^2+c^2 =51,what is the value of ab+bc+ac?

If a = 2 , b = -2 and c = 2 , then find the value of a^2b + b^2c + c^2a

If a+b+c=9 and a b+b c+c a=23 , find the value of a^2+b^2+c^2

For real a, b and c if a^(2) + b^(2) + c^(2) = ab + bc + ca , then find the value of (a + b + c)^(2) A. 9a^(2) B. 81 a^(2) C. 27 a^(2) D. 24 a^(2)