Question

If X/Y and Y/X are rational numbers, then which of the following option is correct​

Answer 1

Answer:

Interestingly 1 and 3 contradict each other.

Let's see how:

Let z = x - y

Substitute it in 3rd option

We get- |x-y| = 》 |z| = 》|z| + |y| =

This is exact opposite of what has been stated in option 1.

So one of them has to be wrong. Take an example with values of x and y having opposite signs, you ll see that opinion 1 is right hence option 3 is wrong.

Answer 2

$\huge{\boxed{SOLUTION}}</p><p>\bf$

$\displaystyle\huge\red{\underline{\underline{CONCEPT \;TO \; BE \; IMPLEMENTED}}}$

A rational number is defined as a number of the form p/q where p and q are integers numbers with q =/= 0

$\displaystyle\huge\red{\underline{\underline{EXAMPLE}}}$

2,3,-1, 1, -12 are the examples of rational

3 23 numbers

$\displaystyle\huge\red{\underline{\underline{TO \;DETERMINE}}}$

If x/y and y/x are rational numbers, then which of the following option i

Both X and Y can be 0

$\displaystyle\huge\red{\underline{\underline{CALCULATION}}}$

since x/y is a rational

so by the definition of rational numbers

Y=/=0

Again x/y is rational

so by the definition of rational number X=/=0

so the correct option X=/=0 and Y=/=0

$\huge{\boxed{hope it help you}}</p><p>\bf$