Equilateral Triangle Complex Roots (Jee Mains) | ExamDuo
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Algebra and Representation of Complex Numbers
Hard
Equilateral Triangle Complex Roots
Let
z
1
,
z
2
be the roots of the equation
z
2
+
a
z
+
12
=
0
and
z
1
,
z
2
form an equilateral triangle with origin. Then, the value of
|
a
|
is
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