SOLUTION: Length of major axis=4 Length of minor axis=2 Foci on y-axis. Center at the origin

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Question 1042413: Length of major axis=4
Length of minor axis=2
Foci on y-axis.
Center at the origin
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!


The equation is

x%5E2%2Fb%5E2-y%5E2%2Fb%5E2=1

where a = one-half the major axis and
b = one-half the minor axis:

x%5E2%2F1%5E2-y%5E2%2F2%5E2=1

x%5E2%2F1-y%5E2%2F4=1

x%5E2-y%5E2%2F4=1

The foci are c units from the center

where  c%5E2=a%5E2-b%5E2

c%5E2=2%5E2-1%5E2

c%5E2=4-1

c%5E2=3

c=sqrt%283%29

So the foci are %28matrix%281%2C3%2C0%2C%22%2C%22%2Csqrt%283%29%29%29 and %28matrix%281%2C3%2C0%2C%22%2C%22%2C-sqrt%283%29%29%29, 
indicated by the little circles.

Edwin