Write an equation of the ellipse centered at the origin given its vertex and co vertex Can you please do both

Answer:1. [tex]\dfrac{x^2}{1}+\dfrac{y^2}{4}=1.[/tex]2. [tex]\dfrac{x^2}{121}+\dfrac{y^2}{100}=1.[/tex]Step-by-step explanation:The equation of the ellipse is [tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\ (a>b)[/tex]or [tex]\dfrac{x^2}{b^2}+\dfrac{y^2}{a^2}=1\ (a<b).[/tex]1. If the vertex of the ellipse is at point (0,2), then b=2.If the co-vertex of the elllipse is at point (-1,0), then a=1.The equation of the ellipse is[tex]\dfrac{x^2}{1^2}+\dfrac{y^2}{2^2}=1,[/tex][tex]\dfrac{x^2}{1}+\dfrac{y^2}{4}=1.[/tex]This ellipse has foci on y-axis.2. If the vertex of the ellipse is at point (-11,0), then a=11.If the co-vertex of the elllipse is at point (0,10), then b=10.The equation of the ellipse is[tex]\dfrac{x^2}{11^2}+\dfrac{y^2}{10^2}=1,[/tex][tex]\dfrac{x^2}{121}+\dfrac{y^2}{100}=1.[/tex]