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Algebra of Limits

Find the dist...

Question

Find the distance between $2 + 8 i$ and $3 - 6 i$

A

\sqrt{4}

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B

\sqrt{2}

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C

\sqrt{5}

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D

\sqrt{8}

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Solution

The correct option is B $\sqrt{5}$

Given

The Given numbers are $2 + 8 i$ and $3 - 6 i$

The distance between numbers is given as

$= \sqrt{(2 - 3)^{2} + (8 - 6)^{2}}$

$= \sqrt{1 + 4}$

$= \sqrt{5}$

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Similar questions

The distance between

2 + 8 i

3 + 6 i

Q. Find the real number

x

y

\frac{x}{1 + 2 i} + \frac{y}{3 + 2 i} = \frac{5 + 6 i}{- 1 + 8 i}

| Z_{1} | = 2

| Z_{2} - 6 - 8 i | = 4

, then the minimum distance between

Z_{1}

Z_{2}

| Z_{1} | = 2

| Z_{2} - - 6 - 8 i = 4 |

, then the maximum distance between

Z_{1}

Z_{2}

Δ = ∣ ∣ ∣ ∣ ∣ \begin{matrix} \sqrt{6} & 2 i & 3 + \sqrt{6} \sqrt{12} & \sqrt{3} + \sqrt{8 i} & 3 \sqrt{2} + \sqrt{6 i} \sqrt{18} & \sqrt{2} + \sqrt{12} i & \sqrt{27} + 2 i \end{matrix} ∣ ∣ ∣ ∣ ∣

Δ

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