SOLUTION: Find an equation of the ellipse having the given foci and sum of focal radii. (6,0), (6,6); 10

 

Hi,

 Standard Form of an Equation of an Ellipse is  

where Pt(h,k) is the center. (a variable positioned to correspond with major axis)

 a and b  are the respective vertices distances from center

 and ±are the foci distances from center: a > b

sum of focal radii = 10,  a = 10/2 = 5

  4 = ±  b = 3