# Thread: ellipse inscribed in a rectangle

1. ## ellipse inscribed in a rectangle

To determine the equation of an ellipse inscribed in a rectangle of vertices $\displaystyle A(4,3),B(4,-3),C(-4,3),D(-4,-3)$

Answer:
$\displaystyle 9x^2+4y^2=36$

2. ## ..something is missing

Hello Apprentice123
Originally Posted by Apprentice123
To determine the equation of an ellipse inscribed in a rectangle of vertices $\displaystyle A(4,3),B(4,-3),C(-4,3),D(-4,-3)$
The question should have something else
The number of ellipse internally touching a rectangle can be infinite
I think you can tilt an ellipse and see that the equations than would be different from your answer.....which has major & minor axis parallel to
x & y axis .

### ellipse inscribed in a rectangle

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