I have like 3 problems:
a. Produce a conic system of inequalities representing the "doughnut-shape" created by an ellipse inside a circle.
b. Produce a conic system that has exactly two points of intersection and consists of a circle and ellipse with the same area.
c. True or False? Every system of two conic equations whose xy-term is nonexistent has at most 4points of intersection.
I can start with a circle... I don't know how to start the equation for ellipse and what does it look like iside the circle?