equation of an ellipse

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jem3

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given an ellipse centered at the origin with major axis along the x-axis, with end points (b) of the minor axis being (0,1) and (0,-1) and with focus points (C) of (1,0) and (-1,0). Find the equation of the ellipse.

What I've done so far:

Since "b" and "c" are given I used the formula b^2 = a^2 - c^2 to find "a" which gave me x^2/2 + y^2/1

Can anyone tell me if this is right, or am I completely off track?
 
jem3 said:
given an ellipse centered at the origin with major axis along the x-axis, with end points (b) of the minor axis being (0,1) and (0,-1) and with focus points (C) of (1,0) and (-1,0). Find the equation of the ellipse.

What I've done so far:

Since "b" and "c" are given I used the formula b^2 = a^2 - c^2 to find "a" which gave me x^2/2 + y^2/1 = 1

Can anyone tell me if this is right, or am I completely off track?
Click to expand...
 
I was also supposed to compute the eccentricity of the ellipse. From what I've studied that would be e = 1/2, however, I'm not really sure, and again I could be completely wrong.
 
jem3 said:
I was also supposed to compute the eccentricity of the ellipse. From what I've studied that would be e = 1/2, however, I'm not really sure, and again I could be completely wrong.
Click to expand...

What is the mathematical formula for calculating eccentricity of ellipses?

You need to get a little more confidence in your work - even if it is wrong.
 
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