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URGENT: Help needed for complex numbers!
- Thread starter TeeJay
- Start date
ii. first rationalise the denominator by multiplying and dividing by -1-i, this will remove i from the denominator and u will have a standard form of complex no. then plot the point u, as any other simple graph points u= x+iy then plot (x,y).
similarly plot u^2 .
for IzI<2 , IzI is the modulus of z or the magnitude of z. put z=x+iy, then IzI = ( x^2 + y^2)^0.5 <2,
square both sides to get x^2 + Y^2 < (2) ^2 this is the equation of a circle with radius 2 and centre (0.0).
similarly for Iz-uI and Iz-u^2I , put z=x+iy , and separate x and y components and then applu the modulus formula I (x-a) + (Y-b)i I = ((x-a)^2 + (y-b)^2))^0.5.
then plot these two circles, and shade areas according to < or > signs. i know this will be difficult to understand, but ask a teacher or search on google, or look at the black cambridge book for p3.
similarly plot u^2 .
for IzI<2 , IzI is the modulus of z or the magnitude of z. put z=x+iy, then IzI = ( x^2 + y^2)^0.5 <2,
square both sides to get x^2 + Y^2 < (2) ^2 this is the equation of a circle with radius 2 and centre (0.0).
similarly for Iz-uI and Iz-u^2I , put z=x+iy , and separate x and y components and then applu the modulus formula I (x-a) + (Y-b)i I = ((x-a)^2 + (y-b)^2))^0.5.
then plot these two circles, and shade areas according to < or > signs. i know this will be difficult to understand, but ask a teacher or search on google, or look at the black cambridge book for p3.