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Q.

If a, b, c are positive numbers such that a+b +c=1, then the minimum value of  1ab+1bc+1ca

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a

3

b

9

c

27

d

36

answer is C.

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Detailed Solution

1ab+1bc+1ca=1abc       ∵a+b+c=1we have a+b+c3≥(abc)13⇒(abc)13≤13⇒abc≤127
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