A student has drawn an ellipse on a piece of paper that is 8cm in height and 50cm wide. From the top-most

point of the ellipse, to the right-most point of the ellipse, what is the measured distance?

a) Draw and label the semi-major and semi-minor axis of the ellipse as described and solve. The drawing

does not need to be to scale. (5 marks)

b) Assuming the ellipse was centered on the origin, determine the equation of the ellipse in standard

form.

c) Rotate the ellipse in part "a" by 90 around the origin, and determine the equation of the ellipse in

standard form.

d) Take your equation in part "c" and solve for the equation in general form.

e) Looking at your equation in part "d" how would you know this is an ellipse and not a circle?