 Solution

ID: past-exam-of-the-mathematical-methods-i-course-of-the-university-of-oxford/2014/10/b/i/solution

For

r = 0

, the norm equation requires

x = c

. Thus the locus is

{c} if a \cdot (c - b) = 0; \emptyset otherwise .

This includes

a = 0

, when the first condition imposes no restriction.

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