The length of the latus rectum of an ellipse with major axis along x-axis and centre at origin is 12 units, distance between th e focus and the origin is equal to length of minor axis. Find the length of the major axis and minor axis.

Explanation

To solve the problem step by step, we will use the properties of an ellipse and the given information.

### Step 1: Define the ellipse
The equation of the ellipse with the major axis along the x-axis and 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. Given that \( a > b \).
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