1.

Statement-1: If x, y are positive real number satisfying `x+y=1`, then `x^(1//3)+y^(1//3)gt2^(2//3)` Statement-2: `(x^(n)+y^(n))/(2)lt((x+y)/(2))^(n)`, if `0ltnlt1` and `x,ygt0.`A. 1B. 2C. 3D. 4

Answer» Correct Answer - D
Clearly, statement-2, being a standard result, is true. Using this, we obtain
`(x^(1//3)+y^(1//3))/(2)lt((x+y)/(2))^(1//3)implies" "x^(1//3)+y^(1//3)lt2^(2//3)`
So, statement-1 is false.


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