Complex Numbers 1 (AQA A-Level Further Maths): Quizzes

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Argand Diagrams
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On an Argand diagram, which axis represents the real numbers?

The horizontal axis

Where is the complex number z=3+4iz = 3 + 4i plotted on an Argand diagram?

At point (3,4)(3, 4)

How does the complex conjugate zz^* appear on an Argand diagram relative to zz?

Reflection across the real axis

For z=5+2iz = 5 + 2i, what is the imaginary part of its complex conjugate zz^*?

2-2

Where do the points representing zz, 2z2z and 3z3z lie on an Argand diagram?

On a straight line through the origin

Which method can be used to find z+wz + w on an Argand diagram?

Vector addition with parallelogram

What is the product of gradients of two perpendicular lines?

1-1

What must be included when describing a transformation?

Type, scale factor, centre, vector

What effect does multiplying zz by real scalar kk have?

Stretches/shrinks vector along same line

For z=a+biz = a + bi, what determines the vertical position on an Argand diagram?

The imaginary part bb

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