The vertices of the given ellipse equation are seen to be the points; (0 , -10) and (0 , 10).
The standard form of the equation of an ellipse with center (0 , 0) is;
x²/b² + y²/a² = 1
where a > b
The coordinates of the vertices are (0 , ±a)
The ellipse equation y²/100 + x²/4 = 1 represents an ellipse with center (0 , 0)
And √100 > √4 which means a > b
∴ a =√100 and b =√4
Lets find the vertices of the ellipse
a = √100 = ± 10
The coordinates of the vertices are (0 , ± a)
a = ± 10
The coordinates of the vertices are (0 , 10) , (0 , -10)
The vertices of the ellipse are the points (0 , -10) and (0 , 10)
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