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a
A.P
b
G.P
c
H.P
d
Neither A.P nor G.P nor H.P
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Correct option is C
Given equations are x+2ay+az=0,x+3by+bz=0 , x+4cy+cz=0 Since given equation has non-zero solutions ⇒Δ=0⇒12aa13bb14cc=0⇒1(3bc−4bc)−2a(c−b)+a(4c−3b)=0⇒2b=1a+1c∴a ,b,c are in Harmonic Progression. Therefore, the correct answer is (3).Similar Questions
If the system of equations,
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