question_answer

Equation \[x=a\cos \theta ,\ y=b\sin \theta (a>b)\] represent a conic section whose eccentricity e is given by

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)            \[{{e}^{2}}=\frac{{{a}^{2}}-{{b}^{2}}}{{{b}^{2}}}\]