Question 606824
  <pre><font face = "Tohoma" size = 4 color = "indigo"><b> 
Hi,
ellipse with foci points (5,4) and (-3,4) and the major axis is 10 units long.
foci are each 4 from Center..center is (1,4)
 Standard Form of an Equation of an Ellipse is {{{(x-h)^2/a^2 + (y-k)^2/b^2 = 1 }}}
where Pt(h,k) is the center and a and b  are the respective vertices distances from center  
and 4(distance of foci from Center) = sqrt(a^2-b^2) = sqrt(100-b^2), b = sqrt(84) 
{{{(x-1)^2/100 + (y-4)^2/84 = 1 }}}
{{{drawing(300,300,   -10,10,-10,10,  arc(1,4,10,9.165),
 grid(1),
circle(5, 4,0.4),
circle(-3, 4,0.4),
circle(1, 4,0.4),
graph( 300, 300, -10,10,-10,10,4 ))}}}