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Unit 1Topic 1.12Question BankHL

Mathematics: Analysis and Approaches · Unit 1: Number and Algebra

Complex numbers in Cartesian form

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12

Questions

84

Total marks

Question 1 of 126 marks

Cartesian operations, modulus, argument and conjugate

[Maximum mark: 6]Calculator not permittedLet z=1−3iz=1-3i and w=3−iw=3-i(a) Find z+wz+w[1](b) Find(i) ∣z+w∣|z+w|(ii) arg⁡(z+w)\arg(z+w)[3](c) Find z⋅z∗z\cdot z^*[2]

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