Find the equation of the ellipse whose centre is at origin, the distance between foci is 2 and eccentricity is `(1)/(sqrt(2))`.

Explanation

To find the equation of the ellipse whose center is at the origin, with a distance between the foci of 2 and an eccentricity of \( \frac{1}{\sqrt{2}} \), we can follow these steps:

### Step 1: Identify the parameters of the ellipse
The standard form of the equation of an ellipse centered at the origin is given by:
\[ \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 \]
where \( a \) is the semi-major axis and \( b \) is the semi-minor axis.
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