Which of the following equations represents an ellipse centered at the origin with a semi-major axis of 5 and a semi-minor axis of 2?
x^2/25 + y^2/4 = 1
x^2/4 + y^2/25 = 1
x^2/5 + y^2/2 = 1
x^2/10 + y^2/5 = 1
Answer and Solution
Answer
A. x^2/25 + y^2/4 = 1
Solution:
The standard equation is (x^2/a^2) + (y^2/b^2) = 1. Since a = 5 and b = 2, the equation becomes x^2/25 + y^2/4 = 1. The other options do not align correctly with this standard form.
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