JEE MATHEMATICS MCQ: ELLIPSE

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Application +4 | -1

The eccentricity of an ellipse

\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} = 1

whose latusrectum is half of its major axis is

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Correct option: A

\frac{1}{{\sqrt 2 }}

Option A (

\frac{1}{{\sqrt 2 }}

) is correct because the eccentricity is derived from the relationship between the latus rectum and the major axis.

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