A) Equilateral triangle
B) Isosceles triangle
C) Right angled triangle
D) None of these
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.
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