coordinate geometry, parametric equation, tangent, parabola.

[STEP II 2016 Question 1 (Pure Mathematics)]

Bisection, circle, diametrically opposite, inequality, C1.

[STEP II 2015 Question 7 (Pure)]

Shortest distance of a line and a parabola, parametric equations.

[STEP III 2014 Question 3 (Pure)]

Shortest distance, lines and curves, tangent, differential equation.

[STEP II 2014 Question 3 (Pure)]

Equation of lines, point of intersection, limit, tangent, C1.

[STEP I 2014 Question 8 (Pure)]

Midpoint of chord, line segment, locus, unit circle, C1.

[STEP II 2013 Question 4 (Pure)]

Hyperbola, tangent, intersection, distances, C1.

[STEP I 2012 Question 4 (Pure)]

Equation of lines, intersection, sum of distance, minimisation, differentiation, C1.

[STEP I 2012 Question 1 (Pure)]

Parabola, tangents, bisection, C1.

[STEP I 2011 Question 4 (Pure)]

Sphere, rotation, trigonometry, vector.

[STEP III 2010 Question 6 (Pure)]