A) \[\frac{3}{2}\]
B) \[\frac{8}{3}\]
C) \[\frac{4}{9}\]
D) \[\frac{8}{9}\]
Correct Answer: C
Solution :
Given ellipse is \[\frac{{{x}^{2}}}{{{\left( \frac{1}{3} \right)}^{2}}}+\frac{{{y}^{2}}}{{{\left( \frac{1}{2} \right)}^{2}}}=1\] Here \[b>a\]; \[\therefore \]Latus rectum \[=\frac{2{{a}^{2}}}{b}=\frac{2\times \frac{1}{9}}{\frac{1}{2}}=\frac{4}{9}\].
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