The geometric mean of (x (1) , x (2), x ...

The geometric mean of `(x _(1) , x _(2), x _(3), ... x_(n)) `is X and the geometric mean of `(y _(1), y _(2), y _(3),... y _(n))` is
Y. Which of the following is/are correct ?
1. The geometric mean of
`(x _(1) y _(1), x _(2) y _(2) , x _(3) y _(3), ... x _(n) y _(n))` is XY.
2. The geometric mean of
`((x _(1))/( y _(1)) , ( x _(2))/( y _(2)), (x _(3))/( y _(3)) , ... (x _(n))/( y _(n)))` is `(X)/(Y).`
Select the correct answer using the code given below:

A

1 only

B

2 only

C

Both 1 and 2

D

Neither 1 nor 2

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