Conjugates (Leaving Cert Mathematics): Quizzes

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Conjugates
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What is the conjugate of z=3+7iz = 3 + 7i?

3−7i3 - 7i

What is ar{z} if z=−4−6iz = -4 - 6i?

−4+6i-4 + 6i

Find the conjugate of z=−9iz = -9i.

9i9i

What is the conjugate of the real number z=15z = 15?

1515

Given z=1−2iz = 1 - 2i and w=3+5iw = 3 + 5i, what is overlinez+woverline{z+w}?

4−3i4 - 3i

What is overlineoverlinezoverline{overline{z}} equal to?

zz

When finding overlinez+woverline{z+w}, what should you do first?

Evaluate z+wz+w under the bar

Which property is true for conjugates?

z+w‾=zˉ+wˉ\overline{z+w} = \bar{z} + \bar{w}

What does z−w‾\overline{z-w} equal?

zˉ−wˉ\bar{z} - \bar{w}

What is zw‾\overline{zw} equal to?

zˉ⋅wˉ\bar{z} \cdot \bar{w}

If a,ba, b are real, what is az+bw‾\overline{az+bw}?

azˉ+bwˉa\bar{z} + b\bar{w}

What is 5+0i‾\overline{5 + 0i}?

55

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Fundamentals of Complex Numbers

The Basics

Argand Diagrams & Modulus

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Explore Leaving Cert Mathematics Flashcards by Topics

Fundamentals of Complex Numbers

The Basics

Argand Diagrams & Modulus

Solving Equations

DeMoivre's Theorem

Transformations

Explore Leaving Cert Mathematics Exam Questions by Topics

Fundamentals of Complex Numbers

The Basics

Argand Diagrams & Modulus

Solving Equations

DeMoivre's Theorem

Transformations

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