If the line $y=x+a$ passes through the vertex of the parabola $y=x^2+a^2$, then the number of possib

Question

If the line $y=x+a$ passes through the vertex of the parabola $y=x^2+a^2$, then the number of possible values of ' $a$ ' is

Professor PC Thomas Classes · Answer

Vertex $(0, a^2)$ satisfies the line, yielding two solutions for $a$.