If a > 0, b > 0 and ab = 1, then the least value of the expression (1 + a) (1 + b) is :

2

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4

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1

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\frac{1}{4}

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Solution

The correct option is B $4$
If ab is constant, then (a+b) takes minimum value
when a = b
$∴$ a = b = 1
$∴$ (1 + a) (1 + b) = (1 + 1)(1 + 1) = 4

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