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![[Post New]](/templates/default/images/icon_minipost_new.gif) 12 Jan 2008 18:50:19 IST
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by looking at the options it will be 1/4,
x and y = 1,
m and n = 0 or 1.
just a rough analysis... ill post the proper solution by nxt time i come on maybe
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* Gaurav Ragtah ( aka Artemis Fowl )
* Agent 'G' [sniper] - SD-6 (Alliance of Twelve)
* Your friendly neighborhood spideyunlimited |
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12 Jan 2008 19:11:18 IST
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divide numerator and denominator by x^n and y^n .
the expression will be 1/ ( x^n + 1/x^n) ( y^n + 1/y^n)
now, minimum value of x^n + 1/ x^n is 2 [ Using AM-GM inequality]
the maximum value of the expression will be when denominator is the minimum .
so the answer is 1/4
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12 Jan 2008 20:38:59 IST
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Well done Nadeemoidu. That was a perfect solution.
Simply take the numerator to denominator and apply AM>=GM.
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Bipin Kumar Dubey
Chemical Dept.
IIT Kharagpur
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