JEE Advanced 2024 Mathematics question on Conic Sections

Consider the ellipse $\dfrac{x^{2}}{9}+\dfrac{y^{2}}{4}=1$. Let $S(p,q)$ be a point in the first quadrant such that $\dfrac{p^{2}}{9}+\dfrac{q^{2}}{4}>1$. Two tangents are drawn from $S$ to the ellipse, of which one meets the ellipse at one end point of the minor axis and the other meets the ellipse at a point $T$ in the fourth quadrant. Let $R$ be the vertex of the ellipse with positive $x$-coordinate and $O$ be the center of the ellipse. If the area of the triangle $\triangle ORT$ is $\dfrac{3}{2}$, then which of the following options is correct?