The major axis of ellipse has end points (8,4) and (-4,4). If the ellipse passes through the origin, what is the equation of the ellipse?
End points (8,4) and (-4,4)
so 2a = 12, a =6
x²/a² + y²/b² =1
x²/6² + y²/b² =1
Passes through origin, put (0,0) in x and y:
0²/6² + 0²/b² =1
b² = 0
b = 0
So the equation for the ellipse is:
x²/6² + y² =1
Did I do this right? Is it really x²/6² + y² =1 ?