Given:
Closures of significant pivot \[\left( 0,~\pm \surd 5 \right)\]and finishes of minor hub \[\left( \pm 1,\text{ }0 \right)\]
Here, the significant hub is along the$y-axis$.
Thus, the condition of the ellipse will be of the structure\[{{x}^{2}}/{{b}^{2}}~+\text{ }{{y}^{2}}/{{a}^{2}}~=\text{ }1\], where ‘\[a\]’ is the semi-significant pivot.
Then, at that point, \[a\text{ }=~\surd 5\text{ }and\text{ }b\text{ }=\text{ }1\]
∴ The condition for the ellipse \[{{x}^{2}}/{{1}^{2}}~+\text{ }{{y}^{2}}/{{\left( \surd 5 \right)}^{2}}~=\text{ }1\text{ }or\text{ }{{x}^{2}}/1\text{ }+\text{ }{{y}^{2}}/5~=\text{ }1\]