The length of a straight line segment joining complexnumbers 2 and 3i is

\sqrt{3}

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\sqrt{2}

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\sqrt{13}

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13

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Solution

The correct option is D $\sqrt{13}$
Length of a straight line segment joining complex numbers $z_{1}$ and $z_{2}$ is $| z_{1} - z_{2} |$
i.e length off line joining $2$ and $3 i$ is $| 2 - 3 i |$
$∴ | 2 - 3 i | = \sqrt{13}$
Hence, option C.

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