JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

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Application +4 | -1

Let

\alpha ,\beta ,\gamma \;\mathrm{and}\;\delta

are four positive real numbers such that their product is unity, then the least value of

\left( {1 + \mathrm{\alpha }} \right)\left( {1 + \mathrm{\beta }} \right)\left( {1 + \mathrm{\gamma }} \right)\left( {1 + \mathrm{\delta }} \right)

View answer and explanation

Correct option: B

Option B (16) is correct because, by applying the AM-GM inequality, the least value of the expression is found to be 16.

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