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A parabola (P) touches the conic x^2+xy+...

A parabola (P) touches the conic `x^2+xy+y^2-2x-2y+1=0` at the points when it is cut by the line x+y+1=0.
If (a,b) is the vertex of the parabola (P), then the value of `|a-b|` is

A

0

B

`1/2`

C

1

D

`3/2`

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The correct Answer is:
A
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