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Question

If 2z1−3z2+z3=0 then z1,z2,z3 are represented by

A
three vertices of a triangle
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B
three vertices of a rhombus
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C
three collinear points
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D
none of these
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Solution

The correct option is B three collinear points
Given, 2z1+z3=3z2
z2=2z1+z32+1
So z2 divide the line joining the point z1,z3 are in the ratio of 1 : 2.
So z1,z2,z3 are colliner.
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