JEE MATHEMATICS MCQ: ELLIPSE

1 Easy

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Application +4 | -1

If for the ellipse

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

y

-axis is the minor axis and the length of the latusrectum is one half of the length of its minor axis, then its eccentricity is

View answer and explanation

Correct option: C

\frac{{\sqrt 3 }}{2}

Option C (

\frac{{\sqrt 3 }}{2}

) is correct because it is the eccentricity calculated from the given relationship between the latus rectum and minor axis lengths.

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