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If the system of linear equations  x+2ay+az=0, x+3by+bz=0, x+4cy+cz=0 has a non-zero solution then a,b,c

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a
are in G.P
b
are in H.P
c
a+2b+3c=0
d
are in A.P

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detailed solution

Correct option is B

Given system of equations has non zero solution ⇒12aa13bb14cc=0⇒13bc-4bc-2ac-b+a4c-3b=0 ⇒2ac=ab+bc ⇒2b=1a+1c ⇒a,b,c are in H.P.


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If the system of equations, ax+by+cz=0 , bx+cy+az=0  and cx+ay+bz=0  have non trivial solution, then


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