Question: If the system of linear equations
$2 x+2 a y+a z=0$
$2 x+3 b y+b z=0$
$2 x+4 c y+c z=0$
where $a, b, c \in R$ are non-zero and distinct; has a non-zero solution, then :
$a, b, c$ are in A.P.
$a+b+c=0$
a, b, c are in G.P.
$\frac{1}{\mathrm{a}}, \frac{1}{\mathrm{~b}}, \frac{1}{\mathrm{c}}$ are in A.P.
Correct Option: , 4
Solution:
