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Question

If 2a+b+ca,a+2b+cb and a+b+2cc are in A.P., then

A
a,b,c are in A.P.
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B
1a,1b,1c are in A.P.
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C
a,c,b are in A.P.
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D
1a,1c,1b are in A.P.
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Solution

The correct option is B 1a,1b,1c are in A.P.
Given : 2a+b+ca,a+2b+cb,a+b+2cc are in A.P., so

2a+b+ca1,a+2b+cb1,a+b+2cc1 are in A.P.
a+b+ca,a+b+cb,a+b+cc are in A.P.
1a,1b,1c are in A.P.

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