## 50 - 52 Nearest distance from a given point to a given curve

**Problem 50**

Find the shortest distance from the point (4, 2) to the ellipse *x*^{2} + 3*y*^{2} = 12.

**Problem 52**

Find the shortest distance from the point (0, 5) to the ellipse 3y^{2} = x^{3}.