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 More pages related to Math Problems and Online Self Tests.