# MIE 2016/Day 1/Problem 3

### Problem 3

Let and be complex numbers such that is a pure imaginary number and . For any values of and that satisfies these conditions we have:

(a)

(b)

(c)

(d)

(e)

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Revision as of 21:41, 7 January 2018 by Anishanne (talk | contribs) (Created page with "===Problem 3=== Let <math>Z_1</math> and <math>Z_2</math> be complex numbers such that <math>Z_2</math> is a pure imaginary number and <math>|Z_1-Z_2|=|Z_2|</math>. For any va...")

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Let and be complex numbers such that is a pure imaginary number and . For any values of and that satisfies these conditions we have:

(a)

(b)

(c)

(d)

(e)

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