Locate the foci of the ellipse. Show your work.

Question

𝑥2/36+ y2/11=1

Answer 1

If you mean

x^2/36 + y^2/11 = 1

then you can see that since 36 > 11, the major axis is on the x-axis.

So, since b^2+c^2 = a^2, c^2=25, and the foci are at (±5,0)

Answer 2

I will assume your ellipse is
x^2/36 + y^2/11 = 1

so a = 6 and b = √11 with the foci along the x-axis

for that kind of ellipse,
c^2 = a^2 - b^2
= 36 - 11 = 25
c = ± 5

thus the foci are (5,0) and (-5,0)

Answer 3

Thank you guys :)