<PRE><B>Question 539898</B>
I worked with some friends: 

Origin: Center: (0,0)
        Focus:   0,1
        4/3 is 1/2 length of Minor Axis SO 4/3 * 1/2 = 16/9
  
  first mark: 0,0 as h,k
          c^2 = a^2 / a^2    -    b^2 / b^2    =1

  
C^2 = A^2 - B^2
1^2 = a^2 - 4/3 ^2  =&gt;  1=a^2 - 16/9 so 

1 + 16/9 =a^2 =&gt; 9/9 + 16/9 =&gt; a^2 =25/9


x^2 /  16/9 b^2      +    y^2    /     25/9 a^2   =1       now multiply 9th fraction to top and bottom of the fraction to get
 9x^2/16   +  9y^2/25  =1   as the answer
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