If Q denotes the set of all rational numbers and f(p/q) = `sqrt(p^(2) -q^(2))` for any `(p)/(q) in Q` then observe the following Statements
Statement-I : `f ((p)/(q))` is real for each `(p)/(q) in Q`
Statement -II : `f ((p)/(q))` is a complex number for each `(p)/(q) in Q`

Options

A. Both I and II are true
B. I is true , II is false
C. I is false , II is true
D. Both I and II are false

Answer

C