raladin
05-13-2008, 05:48 PM
Q1: Write the numbers in the form a+b:
i) (2+3i)/(1+2i) - (8+i)/(6-i)
ii) [(2+i)/(6i-(1-2i))]^2
Q2: Simplify:
i) i^11
ii) i^203
Q3: Show that the points: 1, -1/2 + (i*squareroot(3))/2, -1/2 - (i*squareroot(3))/2 are the vertexes of an equilateral triangle.
Q4: Describe:
i) | 2Z - i |= 4
ii) | Z | = 3 |Z - 1|
Q5: Write in Polar Form:
i) (1+i)/[squareroot(3)-1]
ii) -2*squareroot(3) - 2i
iii) (1-i) (-squareroot(3)*i)
iv) (-1 + squareroot(3)*i)/(2+2i)
Can you please show detailed solution for each one because I don't get the lesson.. I don't have that part in my book, and it is included in my final exam after 3 days. I hope you can help me..Thanks alot in advance!
i) (2+3i)/(1+2i) - (8+i)/(6-i)
ii) [(2+i)/(6i-(1-2i))]^2
Q2: Simplify:
i) i^11
ii) i^203
Q3: Show that the points: 1, -1/2 + (i*squareroot(3))/2, -1/2 - (i*squareroot(3))/2 are the vertexes of an equilateral triangle.
Q4: Describe:
i) | 2Z - i |= 4
ii) | Z | = 3 |Z - 1|
Q5: Write in Polar Form:
i) (1+i)/[squareroot(3)-1]
ii) -2*squareroot(3) - 2i
iii) (1-i) (-squareroot(3)*i)
iv) (-1 + squareroot(3)*i)/(2+2i)
Can you please show detailed solution for each one because I don't get the lesson.. I don't have that part in my book, and it is included in my final exam after 3 days. I hope you can help me..Thanks alot in advance!