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If the system of linear equations $2x + 2ay + az = 0$, $2x + 3by + bz = 0$, $2x + 4cy + cz = 0$, where $a, b, c \in R$ are non-zero and distinct; has a non-zero solution, then:
(1) $\dfrac{1}{a}, \dfrac{1}{b}, \dfrac{1}{c}$ are in A.P.
(2) $a, b, c$ are in G.P.
(3) $a + b + c = 0$
(4) $a, b, c$ are in A.P.
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