# Questions on Complex Numbers

Questions with answers on complex numbers. In what follows i denotes the imaginary unit defined by i = √ ( -1 ).
## Questions with Answers## Question 1Add and express in the form of a complex number a + b i.(2 + 3i) + (-4 + 5i) - (9 - 3i) / 3 ## Question 2Multiply and express in the form of a complex number a + b i.(-5 + 3i)(- 4 + 8i) ## Question 3Divide and express in the form of a complex number a + b i.(-1 - 2i) / (- 4 + 3i) ## Question 4Find the complex conjugate to.1 + 8 i ## Question 5Express in the form of a complex number a + b i.(-5 - i)(- 7 + 8i) / (2 - 4i) ## Question 6Express in the form of a complex number a + b i.- (7 - i)(- 4 - 2i)(2 - i) ## Question 7Express in the form of a complex number a + b i.i / (1 - i) ## Question 8Solve for x and y where x and y are real numbers.2 y + i x = 4 + x - i ## Question 9Find a and b, where a and b are real numbers so thata + i b = (2 - i) ^{2}## Question 10Find the complex conjugate to- 3 i
## Solution to Above Questionsquestion 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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