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Question

If 1a+1ab+1c+1cb=0 and a+cb0, then a, b, c satisfy.

A
2b=a+c
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B
b2=ac
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C
b=2aca+c
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D
b2=a2+c2
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Solution

The correct option is C b=2aca+c
Given,
1a+1ab+1c+1cb=0

cb+aa(cb)+c+abc(ab)=0

acbc=ca+bc

2ac=bc+acb=2aca+c

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