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Which statement is correct - A 5 2 x + 3 y ​ ≥ 3 ≥ x 3 ​ + y 2 ​ 5 ​ B 5 2 x + 3 y ​ ≥ 3 ≥ 3 x + 2 y 5 x y ​ C 5 2 x + 3 y ​ ≥ 3 ≥ 3 x + 4 y 5 x y ​ D 5 2 x + 3 y ​ ≥ 3 ≥ 2 x + 3 y 5 x y ​

 

Which statement is correct -

A

52x+3y3x3+y25

B

52x+3y33x+2y5xy

C

52x+3y33x+4y5xy

D

52x+3y32x+3y5xy

 
 

Grade:12

1 Answers

Adarsh Pal
askIITians Faculty 159 Points
3 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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