Show that complex numbers `z_1=-1+5i` and `z_2=-3+2i` on the argand plane.

Plot the conjegate of the complex number 2-3i on the Argand plane.

For complex numbers z_1 = 6+3i, z_2=3-I find (z_1)/(z_2)

Area of the triangle formed by 3 complex numbers, 1+i,i-1,2i , in the Argand plane, is

Consider two complex numbers z_(1)=-3+2i, and z,=2-3i,z is a complex number such that arg((z-z_(1))/(z-z_(2)))=cos^(-1)((1)/(sqrt(10))) then locus of z is a circle whose radius is

The complex numbers z_1=2+5i , z_2=3-4i and z_3=-4+i are represented by the points A, B and C respectively on an Argand diagram. Sketch the Argand diagram

find the difference of the complex numbers: z_(1)=-3+2i and z_(2)=13-i .

Consider the locus of the complex number z in the Argand plane given by Re(z)-2=|z-7+2i|. Let P(z_(1)) and Q(z_(2)) be two complex numbers satisfying the given locus and also satisfying arg ((z_(1)-(2+alpha i))/(z_(2)-(2+alpha i)))=(pi)/(2)(alpha in R). Find the minimum value of PQ .[Note: Re(z) denotes real part of complex number z and i^(2)=-1 ]