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:
$\displaystyle 9x^2+4y^2=36$
Hello Apprentice123
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 .