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Statement-1 : For any real number x,(2x^...

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

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
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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