If the system of linear equations

2x + 2ay + az = 0

2x + 3by + bz = 0

2x + 4cy + cz = 0,

where a, b, c ∈ R are non-zero and distinct; has non-zero solution, then

1
a + b + c = 0
2
a, b, c are in A.P
3
\(\frac{1}{a}, \frac{1}{b}, \frac{1}{c}\) are in A.P
4
a, b, c are in G.P
5
Question Not Attempted

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