Chapter 10.1, Problem 44E

By definition, a hyperbola is the locus of points whose positive difference of distances from two fixed points $F1$ and $F2$ (called foci) is constant. In the grid provided, find points whose difference of distances from points $F1\left(\mathrm{5,\; 0}\right)$ and $F2\left(-\mathrm{5,\; 0}\right)$ is 6. That is, locate some points for which $PF1-PF2=6$ or $PF2-PF1=6$; point $P\left(\mathrm{3,\; 0}\right)$ is one such point. Then sketch the hyperbola.