Questions on Complex Numbers

Questions with answers on complex numbers. In what follows i denotes the imaginary unit defined by i = sqrt ( -1 ).

Question 1:Add and express in the form of a complex number a + b i.

(2 + 3i) + (-4 + 5i) - (9 - 3i) / 3

Question 2:Multiply and express in the form of a complex number a + b i.

(-5 + 3i)(- 4 + 8i)

Question 3:Divide and express in the form of a complex number a + b i.

(-1 - 2i) / (- 4 + 3i)

Question 4:Find the complex conjugate to.

1 + 8i

Question 5:Express in the form of a complex number a + b i.

(-5 - i)(- 7 + 8i) / (2 - 4i)

Question 6:Express in the form of a complex number a + b i.

- (7 - i)(- 4 - 2i)(2 - i)

Question 7:Express in the form of a complex number a + b i.

i / (1 - i)

Question 8:Solve for x and y where x and y are real numbers.

2 y + i x = 4 + x - i

Question 9:Find a and b, where a and b are real numbers so that

a + i b = (2 - i)²

Question 10:Find the complex conjugate to

- 3 i

Solution to Above Questions.

question 1: -5 + 9 i

question 2: -4 - 52 i

question 3: -2 / 25 + (11 / 25) i

question 4: 1 - 8 i

question 5: 109 / 10 + (53 / 10) i

question 6: 70 - 10 i

question 7: -1 / 2 + i / 2

question 8: x = -1 , y = 3 / 2

question 9: a = 3 , b = -4

question 10: 3 i

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