Properties of TriangleHard
Question
If the points A(z), B(-z) and c(1 - z) are the vertices of an equilateral triangle ABC then Re(z) is equal to :-
Options
A.
B.
C.
D.None
Solution
AB = BC = CA
|2z| = 1 = |2z - 1|; 2|z| = 1
(2z - 1) (2
- 1) = 14|z|2 - 2(z +
) + 1 = 11 - 2(2x) = 0
x =
Re(z) = 
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