Question

4. Write an equation of the ellipse with foci at (±1, 0) and co-vertices at (0, ±2)

Answer 1

Explanation:

The foci:

F=(1,0)

F'=(-1,0)

The co-vertices:

V=(0,2

V'=(-2,0)

`(x^2)/(a^2) +(y^2)/(b^2) =1\\\\with\ \\b=2\\and \\2*a=2*|FV|=2*√(5) \, a=√(5)\\\\(x^2)/(5) +(y^2)/(4) =1\\`