A) 6
B) 12
C) 10
D) 16
Correct Answer: B
Solution :
Given, minor axis of ellipse \[(2\,b)=8\] or \[b=4\] and eccentricity \[(e)=\sqrt{5}/3\]. We know that in an ellipse, \[{{e}^{2}}=1-\frac{{{b}^{2}}}{{{a}^{2}}}\] or \[\frac{5}{9}=1-\frac{16}{{{a}^{2}}}\] or \[\frac{16}{{{a}^{2}}}=1-\frac{5}{9}\] or \[{{a}^{2}}=\frac{16\times 9}{4}\]\[=36\] or \[a=6.\] We also know that major axis of the ellipse \[=2a=2\times 6=12.\]
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