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If the equations x^(2)+b^(2)=1-2b x and ...

If the equations `x^(2)+b^(2)=1-2b x` and `x^(2)+a^(2)=1-2` a x have one and only one root common then `|a-b|=`

A

`a+b=2`

B

`a+b=-2`

C

`|a-b|=2`

D

`a-b=pm 1`

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The correct Answer is:
B
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