CAPE Pure Mathematics Unit 1 · May/June 2014 · Paper 1 · Question Q26

The variable point P(x, y) moves so that it is the same distance from the points (1, 6) and (3, 2). The equation of the locus of P may be obtained from

1. (A)\frac{y - 6}{x - 1} = \frac{y - 2}{x - 3}
2. (B)\frac{x - 1}{y - 6} = \frac{x - 3}{y - 2}
3. (C)\sqrt{(x - 1)^2 + (y - 6)^2} = \sqrt{(x - 3)^2 + (y - 2)^2}
4. (D)(x - 1) + (y - 6) = (x - 3) + (y - 2)