Mathematics - Ellipse Question with Solution | TestHub

MathematicsEllipseGeneralMedium3 minQB

MathematicsMediumsingle choice

Let $a > 2$ and the minimum of $∣ x - a ∣ + 2∣ x - 2∣$ be 1 . For ellipse $x^{2} / a^{2} + y^{2} /4 = 1$ , find its eccentricity.

Answer:

Solution:

The minimum occurs at $x = 2$ , so $a = 3$ . Thus $e = 1 - 4/9 = 5 /3$ .

Stream:JEESubject:MathematicsTopic:EllipseSubtopic:General

⏱ 3mℹ️ Source: QB

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