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12th Standard English Medium Maths Subject Complex Numbers Book Back 5 Mark Questions with Solution Part - I

12th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 25

    5 Marks

    5 x 5 = 25
  1. Suppose z1, zand zare the vertices of an equilateral triangle inscribed in the circle |z| = 2. If z1 = 1 + i\(\sqrt { 3 } \) then find z2 and z3.

  2. Find all cube roots of \(\sqrt { 3 } +i\)

  3. Solve the equation z3+ 8i = 0, where \(z \in \mathbb{C}\)

  4. Simplify: (1+i)18

  5. Simplify: \(\left( -\sqrt { 3 } +3i \right) ^{ 31 }\)

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