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If a²x⁴+b²Y⁴= c6 then the maximum value of xy is .........

If a²x⁴+b²Y⁴= c6 then the maximum value of xy is .........

Grade:12th pass

1 Answers

Arun
25750 Points
3 years ago
since AM ⩾ GM
a2x4+b2y42⩾a2x4*b2y4−−−−−−−−−√
ax2*by2⩽c62abx2y2⩽c62x2y2⩽c62ab−c32ab√⩽xy⩽c32ab√
thus the maximum value of xy is c32ab√
 

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