Year 12 · Specialist Mathematics

Complex loci

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Practise the method.

Interpret circles, lines and distances in the Argand plane.

Example 1

-20-202020ReImfixed pointtrial
Move a trial point around the fixed reference from the expression. Compare its distance with the required radius 2. The lavender point is your trial. Optional circles use its current distances.
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Answer:

Example 2

-20-202020ReImABtrial
A = 5B = -9
Move a trial point and compare the two unmeasured distances. The lavender point is your trial. Optional circles use its current distances.
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Answer:

Example 3

-30-303030ReImfixed pointtrial
Move a trial point around the fixed reference from the expression. Compare its distance with the required radius 5. The lavender point is your trial. Optional circles use its current distances.
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Answer: