2. The line $\frac{x}{4}+\frac{y}{3}=1$ intersects the ellipse $\frac{x^{2}}{16}+\frac{y^{2}}{9}=1$ at points $A$ and $B$. A point $P$ on the ellipse makes the area of $\triangle P A B$ equal to 3. How many such points $P$ are there?
A. 1
B. 2
C. 3
D. 4