CAPE Pure Mathematics Unit 2 · May/June 2015 · Paper 1 · Question Q13

A curve is given parametrically by the equations x = t^2 - 2t, y = t^2 + 2t. The simplest expression for the gradient of the tangent in terms of t is

1. (A)\frac{t - 1}{t + 1}
2. (B)\frac{2t - 2}{2t + 2}
3. (C)\frac{t + 1}{t - 1}
4. (D)\frac{t + 1}{2t - 2}