JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

1 Hard

1 of 1

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}

Option B (

{2^n}

) is correct because the minimum value is obtained by repeatedly applying AM ≥ GM inequality to each factor and using the given condition

{a_1}{a_2} \ldots {a_n} = 1

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