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MATH / Let S be the set of complex numbers z such that the real part of (1)/(z) is equal to (1)/(6). This set forms a curve. Find the area of the region inside the curve.

Problem

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problem

Let SS be the set of complex numbers zz such that the real part of 1z\frac{1}{z} is equal to 16.\frac{1}{6}. This set forms a curve. Find the area of the region inside the curve.
Plain-text mathematical notation (without MathML)
Let S be the set of complex numbers z such that the real part of (1)/(z) is equal to (1)/(6).  This set forms a curve.  Find the area of the region inside the curve.
Original LaTeX notation
Let $S$ be the set of complex numbers $z$ such that the real part of $\frac{1}{z}$ is equal to $\frac{1}{6}.$  This set forms a curve.  Find the area of the region inside the curve.

level

Level 3

type

Precalculus

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Source and history

task_id
afcaf031-89e6-5f3b-8e9a-f504bfa414f1
task_key
precalculus--test--afcaf031-89e6-5f3b-8e9a-f504bfa414f1
task_revision_id
1
config / split
precalculus / test

Official source

initial import