Question

# If $$\displaystyle z_{1}= 3+2i,z_{2}= 4+4i,z_{3}= 5+6i,$$ then $$\displaystyle z_{1},z_{2},z_{3}$$ represents the vertices of a/an

A
right angle triangle
B
equilateral triangle
C
Isosceles triangle
D
None of these

Solution

## The correct option is D None of theseConsider $$z_{1}+z_{3}$$$$=8+8i$$$$=2(4+4i)$$$$=2z_{2}$$Thus $$z_{1},z_{2},z_{3}$$ lie on a line.Hence he answer is none of these.Maths

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