JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Application +4 | -1

a_i > 0

for

i=1,2, \ldots, n

and

a_1 a_2 \ldots a_n=1

, then minimum value of

\left(1+a_1\right)\left(1+a_2\right) \ldots\left(1+a_n\right)

View answer and explanation

Correct option: B

2^n

The correct answer is B (

2^n

) because it is found by applying the AM-GM inequality to each

(1+a_i)

term and then multiplying the resulting inequalities.

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a

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