If a,b,c are positive then which of the following holds good?(A) `b^c^2 +c^2a^2 +a^2b^2 ge abc(a+b+c)`(B) `(bc)/a+(ca)/b+(ab)/c ge a+b+c` ((C) `(bc)/a^3 +ca/b^3 + ab/c^3 ge 1/a+1/b+1/c`(D) `1/a+1/b+1/c ge 1/(sqrt(bc))+1/(sqrt(ca))+1/sqrt(ab))`

If a,b,are positive then which of the following holds good?(A) b^(c)-2+c^(2)a^(2)+a^(2)b^(2)>=abc(a+b+c)(B)(bc)/(a)+(ca)/(b)+(ab)/(c)>=a+b+c((C)(bc)/(a^(3))+c(a)/(b^(3))+a(b)/(c^(3))>=(1)/(a)+(1)/(b)+(1)/(c)(D)(1)/(a)+(1)/(b)+(1)/(c)>=(1)/(sqrt(bc))+(1)/(sqrt(ca))+(1)/(sqrt(ab)))

Prove that (1)/(a) + (1)/(b) + (1)/(c ) ge (1)/(sqrt((bc))) + (1)/(sqrt((ca))) + (1)/(sqrt((ab))) , where a,b,c gt 0

Prove that (1)/(a) + (1)/(b) + (1)/(c ) ge (1)/(sqrt((bc))) + (1)/(sqrt((ca))) + (1)/(sqrt((ab))) , where a,b,c gt 0

Prove that (1)/(a) + (1)/(b) + (1)/(c ) ge (1)/(sqrt((bc))) + (1)/(sqrt((ca))) + (1)/(sqrt((ab))) , where a,b,c gt 0

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, c are positive, prove that (a + b + c) (ab + bc + ca) ge 9abc.

If a,b,c are unequal and positive then show that (bc)/(b+c)+(ca)/(c+a)+(ab)/(a+b)<1/2(a+b+c)

If a,b,c in R^(+), then (bc)/(b+c)+(ac)/(a+c)+(ab)/(a+b) is always (a) (a) =(1)/(3)sqrt(abc)(c) =(1)/(2)sqrt(abc)

If ab + bc + ca = 0 , then the value of 1/(a^2 - bc) + 1/(b^2 - ca) + 1/(c^2 - ab) will be :