The equation representing the ellipse is y²/25+x²/4=1.
We have given that,
We have given a figure
We have to determine the equation of an ellipse.
What is the ellipse?
The equation for an ellipse is either categorized as
x²/c² + y²/d² = 1 .
In such an equation, the vertices on the x-axis are categorized by (±c,0) and the vertices on the y axis are (0, ±d)
In the ellipse shown, the vertices/endpoints on the x-axis are(-2,0) and (2,0). This means that c is equal to 2. Similarly, on the y axis, the endpoints are (5,0) and (-5,0), so d=5.
Our equation is therefore x²/2²+y²/5²=1 = x²/4+y²/25=1
Our answer is therefore the fourth option, or
y²/25+x²/4=1
To learn more about the ellipse visit:
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