Complex Numbers

de Moivre's theorem, binomial theorem, real and imaginary parts.

[STEP I 1995 Question 4 (Pure)]

Argand diagram, rotation, necessary and sufficient.

[STEP III 1994 Question 6 (Pure)]

Mobius transformation, real and imaginary part, conjugate, composition of functions.

[STEP I 1994 Question 6 (Pure)]

Argand diagram, circle, locus, Mobius transformation, position.

[STEP III 1993 Question 6 (Pure)]

Modulus, triangle inequality, roots of equation.

[STEP I 1993 Question 5 (Pure)]

Locus, argand diagram, real part, points on a circle.

[STEP II 1992 Question 10 (Pure)]

Argand diagram, triangles, rotation, deterinant of matrix, similar triangles, centroid, equilateral, geometry.

[STEP III 1991 Question 2 (Pure)]

de Moivre's theorem, trigonometry, roots of equation, tangent function.

[STEP III 1990 Question 1 (Pure)]

Geometry, circle, argand diagram, position.

[STEP II 1990 Question 5 (Pure)]

Ellipse, hyperbola, intersection, curve sketching.

[STEP II 1989 Question 3 (Pure)]