Question

Find the vertices of the ellipse 2²/81 + 9²/81 = 1.

a) (9, 0), (-9, 0)
b) (0, 9), (0, -9)
c) (81, 0), (-81, 0)
d) (0, 81), (0, -81)

Answer 1

The vertices of the ellipse are (9, 0) and (-9, 0).

Step-by-step explanation:

In order to find the vertices of the given ellipse, we need to determine the values of a and b in the equation of the ellipse.

Given equation: 2²/81 + 9²/81 = 1

Comparing this equation with the standard equation of an ellipse, x²/a² + y²/b² = 1, we can see that a = 9 and b = 9/9 = 1.

The vertices of the ellipse are located at (±a, 0), so in this case, the vertices are (9, 0) and (-9, 0).