The question says that
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can take
two positions for each value of
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.
Consider the diagram for the specific case that
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. Can you see why there can only be one location for
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?
It's not unusual for more challenging questions in Maths exams for there to be a difficult-to-get mark that requires some detail to be recognised and addressed.
As a simple example, suppose that solving
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was a 3 mark question:
- getting to
could be worth 1 mark
- translating that to
or
could be the second mark
- recognising that
is excluded (as the original fraction was undefined) and thus the answer is
or
, could be the final mark