Argand Diagrams & Modulus (Leaving Cert Mathematics): Quizzes

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Argand Diagrams
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What is an Argand diagram used for?

To represent complex numbers graphically

In an Argand diagram, what does the horizontal axis represent?

The real part of a complex number

In an Argand diagram, what does the vertical axis represent?

The imaginary part of a complex number

How is the complex number a+bia+bi plotted as a point?

(a,b)(a,b)

What are the coordinates for plotting 2+3i2+3i on an Argand diagram?

(2,3)(2,3)

What are the coordinates for plotting −2−3i-2-3i on an Argand diagram?

(−2,−3)(-2,-3)

What are the coordinates for plotting −2i-2i on an Argand diagram?

(0,−2)(0,-2)

For the complex number 5−4i5-4i, what is the real part?

5

For the complex number 3+7i3+7i, what is the imaginary part?

7

What complex number is represented by the point (4,−5)(4,-5) on an Argand diagram?

4−5i4-5i

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