Mathematics - Application of Derivative Question with Solution | TestHub

Let the point of intersection be $(x,y)$ $x^3-3x{y}^2+2=0\Rightarrow \frac{dy}{dx}=\frac{x^2-y^2}{2xy};3x^{2}y-y^3=2\Rightarrow \frac{dy}{dx}=\frac{2xy}{y^2-x^2};m_1{m}_2=-1\Rightarrow \theta =90^{\circ }$