Hi my homework is due in about 50 minutes. Please if someone is on please respond please help me as soon as possible

Question

Identify an equation in standard form for an ellipse with its center at the origin, a vertex at (0, 6), and a co-vertex at (2, 0).

 A.)

 B.)

 C.)

 D.)

Answer 1

First of all, only A) and B) are ellipse equations. The other two are hyperbola equations, since they are subtractions.

The vertexes are (x,y) --> (0,6) and (2,0). So a = 6 and b = 2. The major axis is on the y-axis, since 6>2

x²/b² + y²/a² = 1 or y²/a²+x²/b²=1

Answer A)