Ends of major axis \( (0, ±\sqrt{5})\) and ends of minor axis (±1, 0)

Here, the major axis is along the y-axis.

So, the equation of the ellipse will be of the form

\( \dfrac{x^2}{a^2}\) +\( \dfrac{y^2}{b^2}\) = 1, where ‘a’ is the semi-major axis.

Then, a = \( \sqrt{5}\) and b = 1.

The equation for the ellipse \( \dfrac{x^2}{1^2}+ \dfrac{y^2}{(\sqrt{5})^2}=1\)

or \( \dfrac{x^2}{1^2}+ \dfrac{y^2}{5}=1\)

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