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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))`

A

`b^(2)c^(2)+c^(2)a^(2)+a^(2)b^(2)geabc(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)))`

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The correct Answer is:
A
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