Unit 1: Number and Algebra
Topic 1.13: Complex numbers: polar (HL only) Questions
Practice 20 exam-style questions for IB Math AA SL Topic 1.13. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
21 mark
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The argument of −4 (as a complex number) is:
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Which is in quadrant 2 of the Argand diagram?
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Find (3 cis(π/5))(4 cis(2π/5)) in polar form.
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Write z = 1 + i in exponential form.
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Write z = −7 in polar form (−π < θ ≤ π).
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Write z = 3 cis(π/2) in Cartesian form.
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Multiplying by 2 cis(π) does what to a point?
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If z = 3 cis(π/4), then z × z* (using polar) is:
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To rotate a point 60° clockwise about the origin, multiply by:
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Write z = 6 eiπ/3 in Cartesian form.
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Find (5 eiπ/6)(2 eiπ/3) in exponential form.
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Find (12 ei2π/3)/(3 eiπ/6) in exponential form.
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