Q11 of 153 Page 14

Find the principal argument of

_{As we know that, z = a+ib}

= 1+i²+2i√3

= 1-3+2i√3

= -2+2i√3

a = -2 b = 2√3

= |√3|

α<0 , b>1

∴z lies in second quadrant

arg(z) = θ

Write the argument of –i.

Write the least positive integral value of n for which is real.

Find z, if |z| = 4 and

If |z – 5i| = |z + 5i|, then find the locus of z.