if the line `y=xsqrt3` cuts the curve `x^3+y^3+3xy+5x^2+3y^2+4x+5y+1=0` at point `A,B,C` then find the value of `OA.OB.OC` is equal to (where `O` is the origin)

If the line y=sqrt3x " cuts the curve " x^3+y^3+3xy+5x^2+3y^2+4x+5y-1=0 at the points A,B,C then OA.OB.OC is

If the line y = x cuts the curve x^(3) + 3y^(3) - 30xy + 72x - 55 = 0 in points A,B and C, then the value of (4sqrt(2))/(55) OA.OB.OC (where O is the origin), is

If the line y = sqrt3x cuts the curve x^4 + ax²y + bxy + 2x + dy + 6 = 0 at A, B, C and D, then value of OA .OB.OC. OD is, (where O is origin) -

If the line yl=sqrt(3)x cuts the curve x^(3)+y^(3)+3xy+5x^(2)+3y^(2)+4x+5y-1=0 at the point A,B,C, then OAdot OBdot OC is equal to ((k)/(13))(3sqrt(3)-1)* The value of k is

If the line y =sqrt(3)x cuts the curve x^3+y^3+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______

If the line y =sqrt(3)x cuts the curve x^3+y^3+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______

If the line y l=sqrt(3)x cuts the curve x^3+y^3+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______

If the line y=sqrt(3)x cuts the curve x^(4)+ax^(2)y+bxy+cx+dy+6=0 at A,B,C and D then the value of (1)/(12)OA.OB.OC.OD( where O is the origin ) s equal to