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The numbers a,b,c are in A.P. and a+b+c=...

The numbers `a,b,c` are in `A.P.` and `a+b+c=60`. The numbers `(a-2)`, `b`, `(c+3)` are in `G.P.` Then which of the following is not the possible value of `a^(2)+b^(2)+c^(2)` ?

A

`1208`

B

`1218`

C

`1298`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`(b)` `a+b+c=60` and `2b=a+c` ,brgt `:.b=20` ,brgt `impliesc=40-a`
`:.a-20`, `20`, `43-a` are in `G.P.`
`implies(a-2)(43-a)=400`
`impliesa=27` or `18`
If `a=27`, then `b=20`, `c=13`
If `a=18`, then `b=20`, `c=22`
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