Statement-1 : For any real number `x,(2x^(2))/(1+x^(4)_le1` Statement-2: `A.M.gtG.M.`A. 1B. 2C. 3D. 4

Statement-1 : For any real number `x,(2x^(2))/(1+x^(4)_le1` Statement-

1.	Statement-1 : For any real number `x,(2x^(2))/(1+x^(4)_le1` Statement-2: `A.M.gtG.M.`A. 1B. 2C. 3D. 4
Answer» Correct Answer - A Clearly, `(2x^(2))/(1+x^(4))le1` is true of x=0. If `xne0" then "A.MgtG.M.` `implies" "(x^(2)+(1)/(x^(2)))/(2)gesqrt(x^(2)xx(1)/(x^(2)))implies" "(x^(4)+1)/(2x^(2))ge1implies(2x^(2))/(x^(4)+1)le1` Hence, both the statements are true and statement-2 is a correct explanation for statement-1.

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