Find the center of the are represented by `a r g[(z-3i)//(z-2i+4)]=pi//4` .

The center of the arc represented by arg [(z-3i)/(z-2i+4)]=(pi)/(4)

Perimeter of the locus represented by arg((z+i)/(z-i))=(pi)/(4) equal to

The pointo fintersection of the cures represented by the equations art(z-3i)= (3pi)/4 and arg(2z+1-2i)= pi/4 (A) 3+2i (B) - 1/2+5i (C) 3/4+9/4i (D) none of these

Find the point of intersection of the curves arg(z-3i)=(3 pi)/(4) and arg (2z+1-2i)=pi/4

Let I Arg((z-8i)/(z+6))=pmpi/2 II: Re ((z-8i)/(z+6))=0 Show that locus of z in I or II lies on x^2+y^2+6^x – 8^y=0 Hence show that locus of z can also be represented by (z-8i)/(z+6)+(bar(z)-8i)/(barz+6)=0 Further if locus of z is expressed as |z + 3 – 4i| = R, then find R.

The largest value of r for which the region represented by the set {omega in C/| omega-4-i|<=r} is contained in the region represented by the set {z in C/|z-1|<=|z+i|}, is equal to

Find the center and radius of the circle 2zbarz+(3-i)z+(3+i)z-7=0," where " i=sqrt(-1).

z_1,z_2 are represented by two consecutive vertices of a rhombus, the angle at z_1 being pi/4 . Find the complex numbers z_3,z_4 represented by the other vertices, the vertices z_1,z_2,z_3,z_4 being in the anticlockwise sense and origin being the center.

Let z_(1)=10+6i and z_(2)=4+6i. If z is a complex number such that the argument of (z-z_(1))/(z-z_(2))is(pi)/(4), then prove that |z-7-9i|=3sqrt(2)

In the Argand plane |(z-i)/(z+i)| = 4 represents a