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JEE Main 2015 Mathematics question

MathematicsEllipseJEE Main 2015

If the distance between the foci of an ellipse is half the length of its latus rectum, then the eccentricity of the ellipse is:

Answer: (2)

Solution

For the ellipse the distance between the foci is and the length of the latus rectum is . The condition is

2ae = Missing argument for \frac\frac12· = ⇒ = .

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Question ID VK-115387