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If \( abc0 \) and \( 2 \log (a-c), \log \left(a^{2}-c^{2}\right) \), \( \log \left(a^{2}+2 b^{2}+c^{2}\right) \) are in A.P., then
(a) \( a, b, c \) are in A.P.
(b) \( a^{2}, b^{2}, c^{2} \) are in A.P.
(c) \( a, b, c \) are in G.P.
(d) \( a^{2}, b^{2}, c^{2} \) are in H.P.
\( \mathrm{P} \)
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