Mathematics - Sequence & Series Question with Solution | TestHub

MathematicsSequence & SeriesMeans / inequalityEasy2 minPYQ_2020

MathematicsEasysingle choice

If $a > 0, b > 0, c > 0$ and $a, b, c$ are distinct, then $(a +$ b) $(b + c) (c + a)$ is greater than

Answer:

Solution:

$AM > GM$ $\Rightarrow \frac{a + b}{2} > ab, \frac{b + c}{2} > bc, \frac{c + a}{2} > ca$ So, $(a + b) (b + c) (c + a) > 8 ab c$

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

⏱ 2mℹ️ Source: PYQ_2020

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