Question

What is the equation of the ellipse in standard form with center at the origin (0,0) and with vertex located at (0,5) and co-vertex located at (3,0).

Answer 1

x²/25 + y²/9 = 1

Explanation:

Equation of horizontal ellipse in standard form:

x²/a² + y²/b² = 1

In this case, a = 5 and b = 3

a = distance from origin to vertex

b = distance from origin to co-vertex

Therefore, the equation is:

x²/5² + y²/3² = 1

Rewritten:

x²/25 + y²/9 = 1