SOLUTION: Consider the elipse 9x^2 + 36y^2=324. Which of the following statements about the foci and eccentricity is correct? A) the foci are [(0,-3(square root of 3)] and [(0,3(squar

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Question 1198938: Consider the elipse 9x^2 + 36y^2=324.
Which of the following statements about the foci and eccentricity is correct?
A) the foci are [(0,-3(square root of 3)] and [(0,3(square root of 3)], and the eccentricity is (1/2)(square root of 3)
B) the foci are [(0,-3(square root of 3)] and [(0,3(square root of 3)], and the eccentricity is square root of 3
C) the foci are [(-3(square root of 3), 0] and [(3(square root of 3),0], and the eccentricity is (1/2)(square root of 3)
the foci are [(0,-3(square root of 3)] and [(0,3(square root of 3)], and the eccentricity is (1/2)(square root of 3)
D) the foci are [(-3,(square root of 3),0] and [(3(square root of 3),0], and the eccentricity is square root of 3
Found 2 solutions by Edwin McCravy, mccravyedwin:
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!

Answer by mccravyedwin(407)   (Show Source): You can put this solution on YOUR website!
Get the equation in standard form with the center as the center: 

 if a > b or  if a < b



So a2 = __, and a = __,
   b2 = __, and b = __

For all ellipses,  where 



The foci are + or - c units left and right from the center (the origin).

The foci are (__,__) and (__,__).

For the eccentricity:



Edwin
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