Mathematics - Sequence & Series Question with Solution | TestHub

MathematicsSequence & SeriesMeans / inequalityEasy2 minQB

MathematicsEasysingle choice

For positive real $x, y$ , find the minimum of $12/ x + 18/ y + x y$ .

Answer:

Solution:

By AM-GM, $12/ x + 18/ y + x y \geq 3 3 (12/ x) (18/ y) (x y) = 33216 = 18$ . Equality conditions are compatible, so the minimum is 18.

Stream:JEESubject:MathematicsTopic:Sequence & SeriesSubtopic:Means / inequality

⏱ 2mℹ️ Source: QB

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