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.