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MATH / Two circles of radius 1 are centered at (4,0) and (−4,0). How many circles are tangent to both of the given circles and also pass through the point (0,5)?

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problem

Two circles of radius 1 are centered at (4,0)(4,0) and (−4,0).(-4,0). How many circles are tangent to both of the given circles and also pass through the point (0,5)(0,5)?
Plain-text mathematical notation (without MathML)
Two circles of radius 1 are centered at (4,0) and (−4,0). How many circles are tangent to both of the given circles and also pass through the point (0,5)?
Original LaTeX notation
Two circles of radius 1 are centered at $(4,0)$ and $(-4,0).$ How many circles are tangent to both of the given circles and also pass through the point $(0,5)$?

level

Level 5

type

Algebra

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Source and history

task_id
0d21c089-a989-5c35-91fb-5ca893975638
task_key
algebra--test--0d21c089-a989-5c35-91fb-5ca893975638
task_revision_id
1
config / split
algebra / test

Official source

initial import