The following problem is from an examination paper from a Cape Town school. It turned out to be much more tricky than intended!
Find and sketch the locus of P such that the distance from P to the line y=1 is 3 less than its distance from the origin.
Answer: The locus consists of portions of two parabolas, as shown:
- Bruce Merry (Westerford High School) wins a R10 prize voucher