The complex number `(1+2i)/ (1-i)` lies in the quadrant

Convert the complex number (1+i)/(1-i) in the polar form

The reflection of the complex number (2-i)/(3+i) , (where i=sqrt(-1) in the straight line z(1+i)= bar z (i-1) is (-1-i)/2 (b) (-1+i)/2 (i(i+1))/2 (d) (-1)/(1+i)

Find the sum and product of the complex number (-1 +2i) with its conjugate.

Find the modulus and argument of the complex numbers : (i) (1+i)/(1-i) (ii) 1/(1+i)

Find the real values of theta for which the complex number (1+i costheta)/(1-2i costheta) is purely real.

The argument of the complex number (1 +i)^(4) is

Prove that the representative points of the complex numbers 1+4i, 2+7i, 3+ 10i are collinear

Represent the complex numbers (1+7i)/((2-i)^(2)) in polar form

If complex number z lies on the curve |z - (- 1+ i)| = 1 , then find the locus of the complex number w =(z+i)/(1-i), i =sqrt-1 .