(c) $\frac{dy}{dx} = \frac{x^{2} + y^{2}}{x^{2} - y^{2}}$, where, $\frac{dy}{dx}$ is the slope of the curve. $\therefore\left( \ \frac{dy}{dx}\ \right)_{(1,0)} = \frac{1 + 0}{1 - 0} = 1$
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.