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  4. If the line y=√3 x cuts the curve x3+y3+3 x y+5 x2+3 y2+4 x+5 y-1=0 at the points A, B, C such that OA.OB.OC is equal to ( k / 13)(3 √3-1). Then the value of k is (where ' O ' is origin)

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Q. If the line $y=\sqrt{3} x$ cuts the curve $x^3+y^3+3 x y+5 x^2+3 y^2+4 x+5 y-1=0$ at the points $A, B, C$ such that OA.OB.OC is equal to $( k / 13)(3 \sqrt{3}-1)$. Then the value of $k$ is (where ' $O$ ' is origin)

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Solution:

Correct answer is '4'