Conchoid of Nicomedes, polar coordinates, secant function, trigonometry, integration, area of loop.

[STEP III 2015 Question 3 (Pure)]

Gradient, implicit differentiation, mirror, incident and reflected ray.

[STEP III 2006 Question 6 (Pure)]

Curve sketching, circles, area enclosed by curve, integration.

[STEP III 1998 Question 4 (Pure)]

Curve sketching, equiangular spiral, plane geometry, arc length of curve.

[STEP II 1993 Question 5 (Pure)]

Curve sketching, integration, area of region.

[STEP II 1992 Question 3 (Pure)]

Polar differential equations, hyperbolic and trigonometric functions.

[STEP III 1990 Question 9 (Pure)]

Curve sketching, cardioid, length of curve.

[STEP II 1990 Question 9 (Pure)]

Conic section, tangent, intersection, bisection.

[STEP III 1989 Question 6 (Pure)]

Differentiation, mirror, ray of light, reflection, bisect, parabola.

[STEP II 1989 Question 5 (Pure)]

Greyhounds, polar curve, vertices of regular n-gon.

[STEP III 1988 Question 10 (Pure)]