question_answer

If X and Y are two positive integers such that \[X>Y\] and P, Q are the multiplicative inverse of X and Y respectively, then which one of the following is a value of\[PY+QX\]?

A)  \[\frac{{{P}^{2}}+{{Q}^{2}}}{P+Q}\]                   

B)  \[\frac{{{X}^{2}}+{{Y}^{2}}}{X+Y}\]

C)  \[\frac{{{X}^{2}}+{{Y}^{2}}}{X\,Y}\]

D)  \[\frac{{{P}^{2}}+{{Y}^{2}}}{Q\,Y}\]

E)  None of these