ANSWER
[tex]\begin{gathered} \left(h,\:k\right)=\left(0,\:0\right),\:a=3,\:b=6 \\ major\text{ axis;vertical} \\ minoraxis;horizontal \end{gathered}[/tex]
EXPLANATION
The second equation;
[tex]\frac{x^2}{9}+\frac{y^2}{36}=1[/tex]
It is an Elipse.
Ellipse standard equation;
[tex]\frac{\left(x-h\right)^2}{a^2}+\frac{\left(y-k\right)^2}{b^2}=1[/tex]
Rewrite the given equation in the form of the standard equation;
Hence, we have;
[tex]\frac{\left(x-0\right)^2}{3^2}+\frac{\left(y-0\right)^2}{6^2}=1[/tex]
Therefore the ellipse properties are;
[tex]\left(h,\:k\right)=\left(0,\:0\right),\:a=3,\:b=6[/tex]
Major axis is;
[tex]\begin{gathered} 2a \\ =2\times6=12 \end{gathered}[/tex]
Minor axis is;
[tex]\begin{gathered} 2b \\ =2\times3=6 \end{gathered}[/tex]
