<p>The number of rational points on the ellipse $\frac{x^2}{9} + \frac{y^2}{4} = 1$ is ?</p>
Step-by-Step Solution
Key Concept: An ellipse with rational coefficients contains infinitely many rational points due to the parametric nature of elliptic curves.
<p><strong>Step 1:</strong> A rational point on an ellipse has both coordinates as rational numbers.</p><p><strong>Step 2:</strong> For the ellipse $\frac{x^2}{9} + \frac{y^2}{4} = 1$, there are infinitely many parametric representations that yield rational points (by stereographic projection or parametric methods).</p><p><strong>Step 3:</strong> Therefore, there are infinitely many rational points.</p><p>∴ Answer is $p$ (Infinite).</p>
Correct Answer: p