Minimum modulus with real quotient constraint

1675AdeptComplex NumbersCoordinate Geometry

China Mathematical Competition

Let $z$ be a complex number. If $\frac{z-2}{z-i}$ is a real number ($i$ is the imaginary unit), then the minimum of $|z+3|$ is ______.

0 students attempted0% solvedRating 1675

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1675AdeptComplex NumbersCoordinate Geometry

China Mathematical Competition

Let $z$ be a complex number. If $\frac{z-2}{z-i}$ is a real number ($i$ is the imaginary unit), then the minimum of $|z+3|$ is ______.

0 students attempted0% solvedRating 1675