Chapter 12.CR, Problem 6CC

To determine

(a)

To write:

The equations that relates the coordinates $\left(x,y\right)$ and $\left(X,Y\right)$ of a point in a $xy$ plane and $XY$ plane respectively.

To determine

(b)

The method to eliminate $xy$ terms in $A{x}^2+C{y}^2+Dx+Ey+F=0$

To determine

(c)

To find:

The equation with $xy$ terms eliminated in equation and graph the equation.