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If the line y l=sqrt(3)x cuts the curve ...

If the line `y l=sqrt(3)x` cuts the curve `x^2=y^2+3x y+5x^2+3y^2+4x+5y-1=0` at the point `A , B , C ,` then `O AdotO BdotO C` is equal to `(k/(13))(3sqrt(3)-1)` . The value of `k` is______

A

`4/13(3sqrt(3)1)`

B

`3sqrt3+1`

C

`2/sqrt3+7`

D

none of these

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The correct Answer is:
A
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