Question 444440
  <pre><font face = "Tohoma" size = 4 color = "indigo"><b> 
Hi

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.
foci: (+9,0) major axis along the x=axis
major axis of length: 24  2a = 24  a = 24/2 = 12
  {{{ x^2/144 + y^2/b^2 = 1}}}
  f = sqrt(144-b^2) =  9   {{{sqrt(144-63) = sqrt(81)= 9}}}    b^2  = 63
    {{{ x^2/144 + y^2/63 = 1}}}
{{{drawing(300,300,  -15,15,-15,15,  arc(0,0,24,15.875),
 grid(1),
circle(9, 0,0.4),
graph( 300, 300,-15,15,-15,15))}}}