The standard formula of the ellipse with center (2, 0), a major axis of length 12 and endpoint of minor axis (5, 0) described in the statement is (x-2)²/9 + y²/36 = 1.
How to derive the equation of the ellipse based on given information
The ellipse is a kind of conic whose formula in standard form is shown below:
(x-h)²/b²+(y-k)²/a² = 1 (1)
Where:
- x, y - Orthogonal axes of the ellipse.
- h, k - Location of center of the ellipse.
- b - Length of the minor semiaxis.
- a - Length of the major semiaxis.
In this question we are supposed to construct the standard equation the ellipse by replacing all the variables. If we know that b = 3, a = 6, h = 2 and k = 0, then the standard equation of the ellipse is:
(x-2)²/9 + y²/36 = 1 (2)
To learn more on ellipses, we kindly invite to check this verified question: https://brainly.com/question/19507943
