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Length of the latus rectum of an ellipse from its centre, foci, vertex or eccentricity

This type of question, asked 2 times: 4 Apr 2025, 28 Jan 2026 S2. All 2 questions below, oldest first.

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  1. Question 1

    4 Apr 2025

    67
    The length of the latus-rectum of the ellipse, whose foci are (2,5)(2,5) and (2,−3)(2, - 3) and eccentricity is 45\frac{4}{5}, is.

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  2. Question 2

    28 Jan 2026 S2

    59
    An ellipse has its center at (1,−2)(1, - 2), one focus at (3,−2)(3, - 2) and one vertex at (5,-2). Then the length of its latus rectum is :

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