Q.

If z1,z2,z3  are the vertices of an equilateral triangle in the argand plane, then (z12+z22+z32)  =k(z1z2+z2z3+z3z1)  is true for:

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a

k=1

b

k=2

c

k=3

d

k=4

answer is A.

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Detailed Solution

For equilateral triangle     z12+z22+z32=z1z2+z2z3+z3z1 .         ∴   k=1 .
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