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If a, b, c are in A.P., then 2ax+1,2bx+1,2cx+1,xR are in

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a
A.P. 
b
G.P. and when x > 0
c
G.P. only when x < 0
d
G.P. for all x

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detailed solution

Correct option is D

a, b, c are in A.P.  2ax,2bx,2cx are in G.P.

2ax+1,2bx+1,2cx+1are in G.P. 

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