119k views
3 votes
Use the general form of the equation for an ellipse with center (0,0) with a vertex at (5,0) and a co-vertex at (2,0)​

User EmKaroly
by
9.1k points

1 Answer

4 votes
The general form of the equation for an ellipse with center (0,0) and semi-axes lengths a and b is:

(x^2/a^2) + (y^2/b^2) = 1

Since the vertex is at (5,0), we know that a = 5. Since the co-vertex is at (2,0), we know that b = 2.

Plugging these values into the equation, we get:

(x^2/5^2) + (y^2/2^2) = 1

Simplifying, we get:

x^2/25 + y^2/4 = 1

Therefore, the equation of the ellipse with center (0,0), a vertex at (5,0), and a co-vertex at (2,0) is x^2/25 + y^2/4 = 1.
User Shubham Sahu
by
7.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.