Question 174756
lets get this in the right form  {{{x^2/a^2+y^2/b^2=1}}}
:
{{{5x^2/25+y^2/25=1}}}
:
{{{x^2/(sqrt(5))^2+y^2/5^2}}}
:
the foci are at (0,plus and minus c) where c=sqrt(a^2+b^2)

so {{{c=sqrt(5+25)=sqrt(30)}}} ..so foci are at (0,sqrt(30) and (0,-sqrt(30))
:
major axis is at (0,5) and(0-5) minor axis at (sqrt(5),0)(-sqrt(5),0)
:
 {{{drawing( 300, 300, -5, 5, -5, 5, 
         grid(1),
         blue( ellipse( 0, 0, 2sqrt(5),10 ) )
          )}}}