Conic Sections Question 452
Question: Equation $ x=a\cos \theta ,\ y=b\sin \theta (a>b) $ represent a conic section whose eccentricity e is given by
Options:
A) $ e^{2}=\frac{a^{2}+b^{2}}{a^{2}} $
B) $ e^{2}=\frac{a^{2}+b^{2}}{b^{2}} $
C) $ e^{2}=\frac{a^{2}-b^{2}}{a^{2}} $
D) $ e^{2}=\frac{a^{2}-b^{2}}{b^{2}} $
Show Answer
Answer:
Correct Answer: C
Solution:
Obviously, it is an ellipse.