Problem

Find the expanded form of the ellipse with a center at the origin, a horizontal axis length of 10 and a vertical axis length of 6.

Solution

Step 1 :Given that the center of the ellipse is at the origin, its equation will be of the form \(\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1\), where a is half of the horizontal axis length and b is half of the vertical axis length.

Step 2 :We are given that the horizontal axis length is 10, so \(a = \frac{10}{2} = 5\).

Step 3 :Similarly, the vertical axis length is 6, so \(b = \frac{6}{2} = 3\).

Step 4 :Substituting these values into the equation of the ellipse, we get the expanded form: \(\frac{x^2}{5^2} + \frac{y^2}{3^2} = 1\)

From Solvely APP
Source: https://solvelyapp.com/problems/CnUR9BDyqx/

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