Mathematics

The key is to recognize that if a point lies on a curve, its coordinates must satisfy the equation. Substitute the $x$-coordinate $9a$ into $y^2 = 12ax$ and solve for $y$. Since $a > 0$, you'll get a specific numerical relationship between $y$ and $a$ — watch for whether $y$ can be expressed as a clean multiple of $a$.

The key is to recognize that if a point lies on a curve, its coordinates must satisfy the equation. Substitute the $x$-coordinate $9a$ into $y^2 = 12ax$ and solve for $y$. Since $a > 0$, you'll get a specific numerical relationship between $y$ and $a$ — watch for whether $y$ can be expressed as a clean multiple of $a$.