Question

How can we find if this x = 4rcos(theta), y = 5sin(theta) is an ellipses or a circle? What makes the two parametrical equations (the one representing a circle, and another representing an ellipses) different?

Thank you!

EDIT:
Oh, I think I got it!! If a in x = a r cos(theta) and b in y = b r sin(theta) are equal (a==b) then it is a circle..right?

Answer 1

Yeah

Answer 2

if they are equal

Answer 3

Thank you :)

Answer 4

Your welcome!