If the system of linear equations $2 \mathrm{x}+2 \mathrm{ay}+\mathrm{az}=0$ ; $2 x+3 b y+b z=0$ ; $2 \mathrm{x}+4 \mathrm{cy}+\mathrm{cz}=0$ ; where $a, b, c \in R$ are non-zero and distinct; has a non-zero solution, then
If the system of linear equations $2 \mathrm{x}+2 \mathrm{ay}+\mathrm{az}=0$ ; $2 x+3 b y+b z=0$ ; $2 \mathrm{x}+4 \mathrm{cy}+\mathrm{cz}=0$ ; where $a, b, c \in R$ are non-zero and distinct; has a non-zero solution, then
- [JEE MAIN 2020]
- A
$a, b, c$ are in $A.P.$
- B
$a + b + c = 0$
- C
$a, b, c$ are in $G.P.$
- D
$\frac{1}{a}, \frac{1}{b}, \frac{1}{c}$ are in $A.P.$
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