Mathematics - Ellipse Question with Solution | TestHub

MathematicsEllipseGeneralMedium3 minQB

MathematicsMediumsingle choice

The ellipse $x^{2} /16 + y^{2} / b^{2} = 1$ is inscribed in a square of side $52$ . Find its area.

Answer:

Solution:

The square vertices lie on the director circle $x^{2} + y^{2} = 16 + b^{2}$ . Its radius is 5, so $b = 3$ and the area is $12 π$ .

Stream:JEESubject:MathematicsTopic:EllipseSubtopic:General

⏱ 3mℹ️ Source: QB

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