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Omni-MATH / Given two distinct points A,B and line ℓ that is not perpendicular to AB, what is the maximum possible number of points P on ℓ such that ABP is an isosceles triangle?

Problem

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problem

Given two distinct points A,BA, B and line ℓ\ell that is not perpendicular to ABA B, what is the maximum possible number of points PP on ℓ\ell such that ABPA B P is an isosceles triangle?
Plain-text mathematical notation (without MathML)
Given two distinct points A,B and line ℓ that is not perpendicular to AB, what is the maximum possible number of points P on ℓ such that ABP is an isosceles triangle?
Original LaTeX notation
Given two distinct points $A, B$ and line $\ell$ that is not perpendicular to $A B$, what is the maximum possible number of points $P$ on $\ell$ such that $A B P$ is an isosceles triangle?

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Source and history

task_id
dc6db244-47f3-59cc-bba0-d1f92dc50862
task_key
test--dc6db244-47f3-59cc-bba0-d1f92dc50862
task_revision_id
1
config / split
/ test

Official source

initial import