Complex Numbers And Quadratic Equations question 352
Question: If $ z_1=1+2i,z_2=2+3i,z_3=3+4i, $ then $ z_1,z_2,z_3 $ represent the vertices of a/an [Orissa JEE 2004]
Options:
A) Equilateral triangle
B) Isosceles triangle
C) Right angled triangle
D) None of these
Show Answer
Answer:
Correct Answer: D
Solution:
$ z_1=1+2i,\ z_2=2+3i,\ z_3=3+4i $ $ |z_1-z_2|\ =\ |-1-i|\ =\sqrt{2} $ and $ |z_2-z_3|\ =\ -1-i=\sqrt{2} $ . and $ |z_1-z_3|\ =\ |-2-2i|\ =\ 2\sqrt{2} $ . Hence vertices are collinear.
BETA
