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If a1b+1c,b1c+1a,c1a+1b are in A.P., then

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a
a,b,c are in A.P.
b
a,b,c are in G.P
c
a,b,c are in H.P.
d
none of these

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detailed solution

Correct option is A

a1b+1c,b1c+1a,c1a+1b are in A.P⇒a1b+1c+1,b1c+1a+1,c1a+1b+1 are in A.PA.P⇒abc+ca+ababc,bbc+ca+ababccbc+ca+ababc are in A.P⇒a,b,c are in A.P


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