randRange( 2, 9 ) randRange( 2, 9 ) randRange( -9, 9 ) randRange( -9, 9 ) max( A, B ) min( A, B) H === 0 ? "\\dfrac{x^2}{" + A*A + "}" : "\\dfrac {" + expr(["^", ["+", "x", -H], 2]) + "}{" + A*A +"}" K === 0 ? "\\dfrac{y^2}{" + B*B + "}" : "\\dfrac {" + expr(["^", ["+", "y", -K], 2]) + "}{" + B*B +"}"

The equation of an ellipse `E` is `rand(2) === 1 ? expr(["+", Y2T, X2T]) : expr(["+", X2T, Y2T]) = 1`.

What are its center `(h, k)` and its major and minor radius?

`(h, k) = (`H`,` K`)`

Major radius = MAJ

Minor radius = MIN

The equation of an ellipse with center `(h, k)` is `\dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1`.

We can rewrite the given equation as `\dfrac{(x - negParens(H))^2}{A*A} + \dfrac{(y - negParens(K))^2}{B*B} = 1` .

Thus, the center `(h, k) = (H, K)`.

`MAJ*MAJ` is bigger than `MIN*MIN` so the major radius is `\sqrt{MAJ*MAJ} = MAJ` and the minor radius is `\sqrt{MIN*MIN} = MIN`.