Explain why equation is not an ellipse

[soggles]

Hi there,
I have been struggling with this question for a day or so now, I cannot figure out how to prove that this is not an ellipse. I have looked online as to how to explain this and it isn't making any sense to me.
What is the criteria for it to be classified as an ellipse?
Thank you,

 

[Deleted member 4993]

Hi there,
I have been struggling with this question for a day or so now, I cannot figure out how to prove that this is not an ellipse. I have looked online as to how to explain this and it isn't making any sense to me. What is the criteria for it to be classified as an ellipse?Thank you,

The equation for ellipse is a continuous function (without asymptotic behavior).

 

[HallsofIvy]

An ellipse with semi-axes a, b, and eccentricity, e, has polar form \(\displaystyle r= \frac{b^2/a}{1+ ecos(\theta)}\). If you divide both numerator and denominator of the given form by 5 you get \(\displaystyle r= \frac{2/5}{1+ \frac{12}{5}cos(\theta)}\).

What is wrong with "e"?

 

[Steven G]

Before you can play you need to know the rules. What is the definition of an ellipse and what is the equation of an ellipse in polar form? Armed with some or all of does definitions you could answer your question. Did you look up the polar form of an ellipse?