Given that center is at origin that is (0,0)
x intercepts are + 10 and -10 so the right most and left most points are ( 10,0) and (-10,0)
the y intercepts are + 5 and -5 so the top most point is (0,5 ) and bottom most point is ( 0,-5 )
now we find half of major length ( which is along x axis here )= (10+10 )/2=10
and half of minor length ( which is along y axis here )= (5+5)/2 = 5
hence equation of ellipse : ( X - 0 ) ^2 + ( Y -0 )^2
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10 ^2 5 ^2
Answer:
this is a free response question but the answer would be ( X - 0 ) ^2 + ( Y -0 )^2
