Consider the following in respect of a positive real number x : I. x + \frac{1}{x} > 1 II. (x + \frac{1}{x}) ^{2} > 2 III. (x + \frac{1}{x}) ^{4} > 9 Which of the above are correct?

Correct Answer is : I, II and III

UPSC CDS II 2025 Mathematics Paper

Question : 2 of 100

Marks: +1, -0

Consider the following in respect of a positive real number x :
I. x+‌

>1
II. (x+‌

)2>2
III. (x+‌

)4>9
Which of the above are correct?

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