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MATH / Let z be a complex number with |z|=2. Let P be the polygon in the complex plane whose vertices are z and every w such that (1)/(z+w)=(1)/(z)+(1)/(w).Find the area enclosed by P.

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problem

Let zz be a complex number with |z|=2|z|=2. Let PP be the polygon in the complex plane whose vertices are zz and every ww such that 1z+w=1z+1w.\frac{1}{z+w}=\frac{1}{z}+\frac{1}{w}.Find the area enclosed by P.P.
Plain-text mathematical notation (without MathML)
Let z be a complex number with |z|=2. Let P be the polygon in the complex plane whose vertices are z and every w such that
(1)/(z+w)=(1)/(z)+(1)/(w).Find the area enclosed by P.
Original LaTeX notation
Let $z$ be a complex number with $|z|=2$. Let $P$ be the polygon in the complex plane whose vertices are $z$ and every $w$ such that
\[\frac{1}{z+w}=\frac{1}{z}+\frac{1}{w}.\]Find the area enclosed by $P.$

level

Level 4

type

Precalculus

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Source and history

task_id
9b31a299-6391-55ce-8365-202c37299009
task_key
precalculus--test--9b31a299-6391-55ce-8365-202c37299009
task_revision_id
1
config / split
precalculus / test

Official source

initial import