If Q denotes the set of all rational numbers and f (\frac{p}{q}) =\sqrt{p^2-q^2} for any \frac{p}{q} \in Q, then observe the following statements. I. f (\frac{p}{q}) is real for each \frac{p}{q} \in Q II. f (\frac{p}{q}) is a complex number for each \frac{p}{q} \in Q. Which of the following is correct?

Correct Answer is : I is false, II is true

EAMCET Engineering 2007 Solved Paper

Section: Mathematics

Question : 81 of 160

Marks: +1, -0

If Q denotes the set of all rational numbers and f(‌

)=√p2−q2 for any ‌

∈Q, then observe the following statements.
I. f(‌

) is real for each ‌

∈Q
II. f(‌

) is a complex number for each ‌

∈Q.
Which of the following is correct?

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