If `a, b,` and `c` are distinct positive real numbers and `a^2 + b^2 + c^2=1,` then `ab + bc + ca` is

If a, b, c are distinct positive real numbers and a^(2)+b^(2)+c^(2)=1 , then ab+bc+ca is :

If a,b,c are distinct positive real numbers and a^(2)+b^(2) +c^(2)=1 then the value of ab+bc+ca is-

If a,b,c are three distinct positive real number such that a^2+b^2+c^2=1 , then ab+bc+ca=1 is

If a,b , c are distinct +ve real numbers and a^(2)+b^(2)+c^(2)=1" then "ab+bc+ca is

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

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

If a,b and c are distinct positive real numbers such that bc,ca,ab are in G.P,then b^(2)>(2a^(2)c^(2))/(a^(2)+c^(2))

a,b,c are positive numbers. Prove that, a^(2) + b^(2) + c^(2) gt ab + bc + ca

If a, b and c are distinct positive real numbers such that Delta_(1) = |(a,b,c),(b,c,a),(c,a,b)| and Delta_(2) = |(bc - a^2, ac -b^2, ab - c^2),(ac - b^2, ab - c^2, bc -a^2),(ab -c^2, bc - a^2, ac - b^2)| , then

If a,b,c are three distinct positive Real Numbers in G.P, then the least value of c^(2)+2ab is