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(Solved): Answer all the questions below: [8+6+6] az=x+iy in an Argand diagram and further satisfies the equat ...
Answer all the questions below: [8+6+6]
az=x+iy in an Argand diagram and further satisfies the equation
argarg((1-iz)/(1-z))=(\pi )/(4),z!=i.
Use an algebraic method to find an equation of the locus of P and sketch this locus accurately in an Argand diagram.
bz\epsi lonC of the all equations:
i,z^(i)=i. And express your answers in the form x+iy.
ii,z^(3)=(1+i\sqrt(3))^(8)(1-i)^(5), give your answer in the form k\sqrt(2)e^(i\theta ), where -\pi <\theta <=\pi .