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if ab=2a+3b, a>0,b>0 then the min. value of ab=?
(plz tell the answer by using inequalities and also differentiation and by any simple method u have)thnku...
Dear ajinkya
ab=2a+3b ...............1
use AM ≥GM
(2a+3b)/2 ≥ (6ab)1/2
or (2a+3b) ≥ 2(6ab)1/2
so from equation 1
ab ≥ 2(6ab)1/2
(ab)1/2 ≥ 2(6)1/2
ab ≥ 24
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