The number x is the average (arithmetic mean) of the positiv

The number x is the average (arithmetic mean) of the positive numbers a and b, and the reciprocal of the number y is the average (arithmetic mean) of the reciprocals of a and b. In terms of a and b, x y = ?
A \frac{{a^2 + b^2}}{{2(a + b)}}


B\frac{{(a - b)^2}}{{2(a + b)}}


C \frac{{a + b}}{{2}}

D \frac{{a - b}}{{2}}

E 0