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Geometrical Representation of Argument and Modulus

If |z + 4| = ...

Question

If |z + 4| = 3, then the maximum value of |z + 1| is-

A

4

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B

10

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C

6

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D

0

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Solution

The correct option is C 6
$z$ lies on or inside the circle with center $(- 4, 0)$ and radius $3$ uints
Hence the maximum distance of $z$ from $(- 1, 0)$ is $6$ units

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