Suppose z 1 , z 2 , z 3 are the vertices of an equilateral triangle inscribed in the…
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
Suppose z1, z2, z3 are the vertices of an equilateral triangle inscribed in the circle |z| = 2. If z1 = 1 + \(\mathrm{i} \sqrt{3},\)then
z2 and z3 are
z2 and z3 are
- \(z_{2}=-2 \text { and } z_{3}=1-i \sqrt{3}\)
- \(z_{2}=-1 \text { and } z_{3}=-i \sqrt{3}\)
- \(z_{2}=1 \text { and } z_{3}=1-i \sqrt{3}\)
- \(z_{2}=-1 \text { and } z_{3}=1-i \sqrt{3}\)
Answer
(A) z_ 2 =-2 and z_ 3 =1-i 3
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