Mathematics - Ellipse Question with Solution | TestHub

MathematicsEllipseTangent to ellipseMedium2 minQB

MathematicsMediuminteger

An ellipse is sliding along the coordinate axes. If the foci of the ellipse are $(1, 1)$ and $(3, 3)$ then the area of the director circle of the ellipse is $K π$ . Then $K =$

Answer:

Solution:

Since axes are tangents, $b^{2} = 3$ and $a e = 2 \Rightarrow a^{2} - b^{2} = 2 ∴ a^{2} = 5$

Stream:JEESubject:MathematicsTopic:EllipseSubtopic:Tangent to ellipse

⏱ 2mℹ️ Source: QB

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