Mathematics - Ellipse Question with Solution | TestHub

MathematicsEllipseGeneralMedium2 minQB

MathematicsMediumnumerical

For any point $A$ on $x^{2} + 16 y^{2} = 4$ with foci $S_{1}, S_{2}$ , find the maximum of $A S_{1} \cdot A S_{2}$ .

Answer:

4.00

Solution:

Since $A S_{1} + A S_{2} = 2 a = 4$ , the product is at most 4, attained when the two distances are equal. \end{document}

Stream:JEESubject:MathematicsTopic:EllipseSubtopic:General

⏱ 2mℹ️ Source: QB

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