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Grade 12Inorganic Chemistry

Which statement is correct -

A
52x+3y​≥3≥x3​+y2​5​
B
52x+3y​≥3≥3x+2y5xy​
C
52x+3y​≥3≥3x+4y5xy​
D
52x+3y​≥3≥2x+3y5xy​

Profile image of john wick
5 Years agoGrade 12
Answers icon

1 Answer

Profile image of Adarsh Pal
5 Years ago

Given x2y3=243=35
Thus using A,M≥G.M≥H.M

 

((x+x+y+y+y)/5​)  ≥    (x2y3)^(1/5)    ≥ ​5​/( 2/x+3/y)

 

((2x+3y)/  5 )  ​       ≥  3       ≥5xy/(3x+2y) ​

 
Hence option b is correct

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