Question 935933
Find the standard form of the equation of the ellipse with Major axis of length 8 and foci (5,1) and (-1,1)
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Given ellipse has a horizontal major axis
Its standard form of equation: {{{(x-h)^2/a^2+(y-k)^2/b^2=1}}}, a>b, (h,k)=coordinates of center.
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center: (2,1)
Given length of major axis=8=2a
a=4
a^2=16
c=3
c^2=9
c^2=a^2-b^2
b^2=a^2-c^2=16-9=7
equation: {{{(x-2)^2/16+(y-1)^2/7=1}}}