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Question

If a, b, c are in A.P., then
bcca+ab,cabc+ab,abbc+ca are in A.P.

A
True
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B
False
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Solution

The correct option is B False
We have,
a,b,c are in A.P

aabc,babc,cabc are in A.P

1bc,1ca,1ab are in A.P

ab+bc+cabc,ab+bc+caca,ab+bc+caab are also in A.P

ab+bc+cabc1,ab+bc+caca1,ab+bc+caab1 are also in A.P

ab+cabc,ab+bcca,bc+caab are also in A.P

bcab+ca,caab+bc,abbc+ca are in H.P

Hence, this is the answer.

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