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:I.

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

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:l.

The reciprocal of any rational number (p)/(q) , where p and q are integers and q ne 0 , is

A rational number p/q is negative if both p and q are negative.

If p and q are positive integers, then (p)/(q) is a ______ rational number and (p) (-q) is a ______ rational number.

For the statements p and q, consider the following compound statements : (a) (~q ^^ (p to q)) to ~p (b) ((p vv q) ^^ ~p) to q Then which of the following statements is correct?

If P and Q are any two set then P-Q=

Statement I: A set of numbers that can be expressed as (p)/(q) where p and q are integers q!=0 are called rational numbers.Statement II:pi( pi ) is a rational number.

If (p)/(q) is a rational number, then q cannot be ______.