Length of the line segment joining the points - 1 - i and 2 + 3i … - Vidyadip

MCQ

Length of the line segment joining the points $ - 1 - i$ and $2 + 3i$ is

A
$-5$
B
$15$
✓
$5$
D
$25$

✓

Answer

Correct option: C.

$5$

c
(c) Since the coordinates in complex plane are $(2, 3)$ and $( - 1,\, - 1)$ Hence the required distance is $5.$
Trick : We know that the distance between ${z_1}$ and ${z_2}$ is $|{z_1} - {z_2}|$ therefore, the required length $|2 + 3i + 1 + i| = 5$.

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