If the line `y=xtantheta ` cut the curve `x^3+xy^2+2x^2+2y^2+3x+1=0` at the points A,B and C. if OA, OB and OC are in HP then `tan theta ` is equal to

If the line y=x tan theta cut the curve x^(3)+xy^(2)+2x^(2)+2y^(2)+3x+1=0 at the points A,B and C. if OA, OB and OC are in HP then tan theta is equal to

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-sqrt(3)x cuts the curve x^(3)+y^(2)+3x^(2)+9=0 at the points A,B,C, then OA.OB.OC(O being origin) equals

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=x sqrt(3) 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 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 x+2y=k intersects the curve x^(2)-xy+y^(2)+3x+3y-2=0 at two points A and B and if 0 is the origin. Then the condition for angleAOB=90^(@) is