Mathematics - Ellipse Question with Solution | TestHub

MathematicsEllipseGeneralMedium2 minPYQ_2025

MathematicsMediumsingle choice

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

Answer:

Solution:

$2 be = 8 be = 4$

$b (\frac{4}{5}) = 4 \Rightarrow b = 5 ∵ c^{2} = b^{2} - a^{2} 16 = 25 - a^{2} \Rightarrow a = 3 L.R. = \frac{2 a ^{2}}{b} = \frac{18}{5}$

Stream:JEESubject:MathematicsTopic:EllipseSubtopic:General

⏱ 2mℹ️ Source: PYQ_2025

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