Question

Find the distance between the points 6 + 5i and 1 – 2i. approximately 3.2 approximately 7.6 approximately 8.6

Answer 1

Answer:

3.2 is the right using distance rule in co-ordinate.

Answer 2

Option 4 -  The distance between the points 6 + 5i and 1 -2i is approximately 8.6.

Step-by-step explanation:

To find : The distance between the points 6 + 5i and 1 – 2i ?

Solution :

Let $a + bi = 6+5i$ and $s + ti = 1-2i$.

Here, a=6,b=5,s=1 and t=-2

The difference between the points (a, b) and (s, t) in the complex plane is

$d =\sqrt{(s-a)^2 + (t-b)^2}$

$d =\sqrt{(1-6)^2 + (-2-5)^2}$

$d =\sqrt{(-5)^2 + (-7)^2}$

$d =\sqrt{25 +49}$

$d =\sqrt{74}$

$d =8.60$

Therefore, the distance between the points 6 + 5i and 1 – 2i is approximately 8.6.

So, Option 4 is correct.

#Learn more

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