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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.
The length of latusrectum of parabola (P) is

A

`sqrt2`

B

`3sqrt2`

C

`5sqrt2`

D

`7sqrt2`

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Verified by Experts

The correct Answer is:
D
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