Complex Numbers And Quadratic Equations question 309

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

Options:

A) - 5

B) 15

C) 5

D) 25

Show Answer

Answer:

Correct Answer: C

Solution:

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 $ .