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If 1/x +1/z + (1)/(x - y) + (1)/(z - y) ...

If `1/x +1/z + (1)/(x - y) + (1)/(z - y) = 0` , which of the following statements is true?

A

x, y, z are in H.P. or x, `y/2` , z are in A.P

B

1/ x, 1/y, 1/z are in A.P. or x, y, z are in H.P.

C

`x, y/2`, , z are in H.P. or x, y, z are in G.P..

D

x, y, z are in G.P. or x, y, z are in A.P.

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The correct Answer is:
A
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