Question

Which option is the correct equation?

Answer 1

minor axis is shorter than major axist.

The equation of a ellipse:

$\dfrac{(x-h)^2}{a}+\dfrac{(y-k)^2}{b}=1$

(h, k) - center

a, b - minor or major axis (a-horizontal, b-vertical)

The minor axis is horizontal, therefore a is minor axis and b is major axis.

Therefore your answer is:

$\dfrac{(x-2)^2}{10}+\dfrac{(y-3)^2}{12}=1$