benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / Let O be the center and let F be one of the foci of the ellipse 25x²+16y²=400. A second ellipse, lying inside and tangent to the first ellipse, has its foci at O and F. What is the…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Let OO be the center and let FF be one of the foci of the ellipse 25x2+16y2=40025x^2 +16 y^2 = 400. A second ellipse, lying inside and tangent to the first ellipse, has its foci at OO and FF. What is the length of the minor axis of this second ellipse?
Plain-text mathematical notation (without MathML)
Let O be the center and let F be one of the foci of the ellipse 25x²+16y²=400. A second ellipse, lying inside and tangent to the first ellipse, has its foci at O and F. What is the length of the minor axis of this second ellipse?
Original LaTeX notation
Let $O$ be the center and let $F$ be one of the foci of the ellipse $25x^2 +16 y^2 = 400$. A second ellipse, lying inside and tangent to the first ellipse, has its foci at $O$ and $F$. What is the length of the minor axis of this second ellipse?

level

Level 5

type

Intermediate Algebra

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
6c1bc7b3-5b29-5f85-a9bd-e32bb2c135fb
task_key
intermediate~5falgebra--test--6c1bc7b3-5b29-5f85-a9bd-e32bb2c135fb
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import