The eccentricity of an ellipse x^ 2 a^ 2 + y^ 2 b^ 2 =1 whose latus rectum is half of its…
Mathematics · JEE Main · NTA Exams — Co-ordinate Geometry
The eccentricity of an ellipse \(\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1\) whose latus rectum is half of its major axis is,
- \(1 / \sqrt{2}\)
- \(\sqrt{2 / 3}\)
- \(\sqrt{3} / 2\)
- None of these
Answer
(B) 2 / 3
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