The correct option is C 3 √(3)/2 Distance of (1, 3) from y+√(3)x=0 =| 3+√(3)× 1/2| =3 √(3)/2 ...

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Property 1

minz∈ S|1-3i-...

Question

$min z \in S | 1 - 3 i - z | =$

\frac{2 - \sqrt{3}}{2}

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\frac{2 + \sqrt{3}}{2}

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\frac{3 - \sqrt{3}}{2}

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\frac{3 + \sqrt{3}}{2}

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Solution

The correct option is C $\frac{3 - \sqrt{3}}{2}$
Distance of $(1, - 3)$ from $y + \sqrt{3} x = 0$
$= | \frac{- 3 + \sqrt{3} \times 1}{2} |$
$= \frac{3 - \sqrt{3}}{2}$

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