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Omni-MATH / Let ∠XOY=(π)/(2); P is a point inside ∠XOY and we have OP=1;∠XOP=(π)/(6). A line passes P intersects the Rays OX and OY at M and N. Find the maximum value of OM+ON−MN.

Problem

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

problem

Let

\angle XOY = \frac{\pi}{2}

;

P

is a point inside

\angle XOY

and we have

OP = 1; \angle XOP = \frac{\pi}{6}.

A line passes

P

intersects the Rays

OX

and

OY

M

and

N

. Find the maximum value of

OM + ON - MN.

Plain-text mathematical notation (without MathML)

Let ∠XOY=(π)/(2); P is a point inside ∠XOY and we have OP=1;∠XOP=(π)/(6). A line passes P intersects the Rays OX and OY at M and N. Find the maximum value of OM+ON−MN.

Original LaTeX notation

Let $\angle XOY = \frac{\pi}{2}$; $P$ is a point inside $\angle XOY$ and we have $OP = 1; \angle XOP = \frac{\pi}{6}.$ A line passes $P$ intersects the Rays $OX$ and $OY$ at $M$ and $N$. Find the maximum value of $OM + ON - MN.$

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Source and history

task_id: 057c537c-be0e-5414-a65d-d7191e9e7e49
task_key: test--057c537c-be0e-5414-a65d-d7191e9e7e49
task_revision_id: 2
config / split: / test

Official source

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