Question
Asked Nov 25, 2019
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Find an equation for the ellipse that satisfies the given conditions.
Length of major axis: 26, foci on x-axis, ellipse passes through the point, (square root of 13,6) centered at the origin

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Expert Answer

Step 1

Given:

Length of major axis is 26 and foci on x-axis.

passing through 13,6) and centered at origin
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passing through 13,6) and centered at origin

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Step 2

Equation of ellipse is given by

)(y-k
(x-h
a2
where (h,k) is the center of ellipse
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)(y-k (x-h a2 where (h,k) is the center of ellipse

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Step 3

Since foci is on x-axis , leng...

2a 26
26
2
a =13
since center of ellipse is origin this implies h 0,k
0
so, equation of ellipse centered at origin is given by
1 ..(1)
ab
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2a 26 26 2 a =13 since center of ellipse is origin this implies h 0,k 0 so, equation of ellipse centered at origin is given by 1 ..(1) ab

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Tagged in

Math

Calculus