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Find the equation of ellipse whose verti...

Find the equation of ellipse whose vertices are `(0,pm13)` and foci `(0,pm5)`.

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To find the equation of the ellipse whose vertices are at (0, ±13) and foci are at (0, ±5), we can follow these steps: ### Step 1: Identify the values of b and e The vertices of the ellipse are given as (0, ±13). In the standard form of the ellipse centered at the origin, the vertices are represented as (0, ±b). Therefore, we have: - \( b = 13 \) The foci are given as (0, ±5). The foci are represented as (0, ±be) in the standard form of the ellipse, where \( e \) is the eccentricity. Thus, we have: - \( be = 5 \) ...
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