Equation of a tangent to the curve x3+3 x2 y-y3+x2-y2=0 at the origin is

Question

Equation of a tangent to the curve x3+3 x2 y-y3+x2-y2=0 at the origin is (A) -y=0 (B) x+y=0 (C) x-2 y=0 (D) 2 x+y=0

Tardigrade Admin · Accepted Answer

Equate to zero the lowest degree term

Q. Equation of a tangent to the curve $x^{3} + 3 x^{2} y - y^{3} + x^{2} - y^{2} = 0$ at the origin is