" If "a,b,c" are real and "distinct," then show that "a^(2)(1+b^(2))+b^(2)(1+c^(2))+c^(2)(1+a^(2))>6abc

Show that a^(2)(1+b^(2))+b^(2)(1+c^(2))+c^(2)(1+a^(2))gt abc

Show that a^(2)(1+b^(2))+b^(2)(1+c^(2))+c^(2)(1+a^(2))gt abc

Show that a^2(1+b^2)+b^2(1+c^2)+c^2(1+a^2)ge6abc .

If a,b, and c are positive and a+b+c=6 show that (a+1/b)^(2)+(b+1/c)^(2)+(c+1/a)^(2)>=75/4

If a,b,c are three distinct positive real numbers prove that (a+b)^(6)+(b+c)^(6)+(c+a)^(6)>192(abc)^(2)

If /_\ ABC is right angled at A, show that: (b^(2) + c^(2))/(b^(2) - c^(2)) .sin (B - C)=1 .

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,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 and c are positive real numbers such that a

If a, b, c are distinct real numbers, show that the points (a, a^2), (b, b^2) and (c, c^2) are not collinear.