Let \( a, b, c \) be distinct real numbers which are in G.P. If \( x \in \mathbf{R} \) is such t...

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Let \( a, b, c \) be distinct real numbers which are in G.P. If \( x \in \mathbf{R} \) is such that \( a+x, b+x, c+x \) are in H.P., then \( x \) equals
(a) \( a \)
(b) \( b \)
(c) \( c \)
(d) \( (a+b+c) / 3 \)
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