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Coordinate Geometry

JEE Main level, single correct, medium

5 of 5

Question 5 of 5

Length of latus rectum of an ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ is one-third of its major axis. Its eccentricity $e$ is:

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Answer: (D) $\sqrt{2/3}$

2b^2/a = 2a/3 \implies b^2/a^2 = 1/3

e = \sqrt{1 - b^2/a^2} = \sqrt{2/3}

JEE Main question paper PDF

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JEE Main 2025 Apr 2 Shift 1 question paper

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JEE Main Mathematics practice question on Coordinate Geometry, with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.

Length of latus rectum of an ellipse x2a2+y2b2=1\frac{x^2}{a^2}+\frac{y^2}{b^2}=1a2x2​+b2y2​=1 is one-third of its major axis. Its eccentricity eee is:

JEE Main question paper PDF

More Mathematics practice

Length of latus rectum of an ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ is one-third of its major axis. Its eccentricity $e$ is: