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Mathematics - Ellipse Question with Solution | TestHub

MathematicsEllipseGeneralMedium2 minQB

MathematicsMediummultiple choice

An ellipse has focus $(2, 3)$ , eccentricity 1/3, and the intersection of its major axis with the corresponding directrix is (10, 11). Which statements are true?

Options:(select one or more)

Answer:

A, B, C

Solution:

The axis direction is along (8,8). The vertices are (-2,-1), (4,5), so $2 a = 62$ and $2 b = 2 a 1 - e^{2} = 8$ . The latus rectum is $162 /3$ , so D is false.

Stream:JEESubject:MathematicsTopic:EllipseSubtopic:General

⏱ 2mℹ️ Source: QB

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