If the real numbers `a, b, c` are such that `a^2 +4b^2 + 16c^2=48` and `ab + 4bc+2ca= 24,` then what is the value of `a^2 + b^2 + c^2?`

If a+b+c=0, then what is the value of a^2/(bc)+b^2/(ca)+c^2/(ab)

If a, b and c are three positive real numbers, show that a^2 + b^2 + c^2 ge ab + bc + ca

If a^(2)+b^(2)+c^(2)=24 and ab+bc+ca=-4, then find a+b+c

If a, b and c real numbers such that a^(2) + b^(2) + c^(2) = 1, then ab + bc + ca lies in the interval :

Factorise : 9a^2 + 4b^2+ 16c^2+12ab16bc -24ca .

Three numbers a,b,c are such that (a^(2) +ab+b ^(2))/(ab +bc +ca) =(a+b)/(a+c), then the numbers b, a, c are in-

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)

Let a,b,c be real numbers such that a+2b+c=4. Find max(ab+bc+ca)