Equality of Complex Numbers (Leaving Cert Mathematics): Quizzes

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Equality of Complex Numbers
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12 questions from this quiz

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For a+bi=c+dia + bi = c + di, what must be true?

a=ca = c and b=db = d

When are two complex numbers equal?

When real & imaginary parts both match

What is the first step when solving complex number equality problems?

Rearrange both sides to standard form

In 3+5i3 + 5i, what is the imaginary part?

55

If a complex number has no visible ii term, what is its imaginary part?

00

If 7−2i=x+yi7 - 2i = x + yi, what is xx?

77

If (3p+1)+4i=10+4i(3p + 1) + 4i = 10 + 4i, what is pp?

33

How many separate equations should you set up for complex number equality?

Two

After separating parts, what do you equate in step 3?

Real parts with real parts

If 6+(2q−1)i=6+5i6 + (2q - 1)i = 6 + 5i, what is qq?

33

What is standard form for complex numbers?

a+bia + bi

What should you always do to show clear mathematical reasoning in exams?

Show all steps clearly in working

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