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If a,b,c be three positive numbers in A....

If `a,b,c` be three positive numbers in `A.P.` and `E=(a+8b)/(2b-a)+(8b+c)/(2b-c)`, then a value of `E` can be

A

`16`

B

`15`

C

`17`

D

`21`

Text Solution

Verified by Experts

The correct Answer is:
D
`(d)` `E=(a+4a+4c)/(a+c-a)+(4a+4c+c)/(a+c-c)` (since `a`, `b`, `c` are in `A.P`)
`=5((a)/(c )+(c )/(a))+8`
Since `a` and `c` are `+ve`, `(a)/(c )+(c )/(a) ge 2`
`:. E ge 10+8`
`:. E ge 18`
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