Chapter 12.FOM, Problem 6P

To determine

a)

To prove:

The equations $P{F}_1=P{Q}_1$ and $P{F}_2=P{Q}_2$.

To determine

b)

The reason that $P{Q}_1+P{Q}_2$ is same for all points $P$ on the curve.

To determine

c)

The reason that the equation $P{F}_1+P{F}_2$ is same for all points $P$ on the curve.

To determine

d)

To prove:

The curve is an ellipse with foci $F_1$ and $F_2$