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If a,b, and c are in A.P and b-a,c-b an...

If a,b, and c are in A.P and b-a,c-b and a are in G.P then a:b:c is

A

`1:2:3`

B

`1:3:5`

C

`2:3:4`

D

`1:2:4`

Text Solution

Verified by Experts

The correct Answer is:
A
We have
2b=a+c
`(c-b)^(2)=(b-a)a`
`rArr(b-a)^(2)=(b-a)a [2b=a+crArrb-a=c-b]`
`rArrb=2a`
`rArrc=3a`
`rArra:b:c=1:2:3`
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