`|z-4| < |z-2|` represents the region given by: (a) `Re(z) > 0` (b) `Re(z) < 0` (c) `Re(z) > 3` (d) None of these

If (x^(2)+y^(2)+z^(2)-64)/(xy-yz-zx)=-2 and x+y=3z, then the value of z is (a) 2 (b) 3 (c) 4 (d) None of these

If f(z)=(7-z)/(1-z^2) , where z=1+2i , then |f(z)| is (a)(|z|)/2 (b) |z| (c) 2|z| (d) none of these

If C={z:Re[(3+4i)z]=0} thenthe number of elements in the set BcapC is (A) 0 (B) 1 (C) 2 (D) none of these

The value of (z + 3) (barz + 3) is equivlent to (A) |z+3|^(2) (B) |z-3| (C) z^2+3 (D) none of these

If iz^(3)+z^(2)-z+i=0, where i=sqrt(-1) then |z| is equal to 1 (b) (1)/(2)(c)(1)/(4) (d) None of these

If z_1 and z_2 are complex numbers such that |z_1-z_2|=|z_1+z_2| and A and B re the points representing z_1 and z_2 then the orthocentre of /_\OAB, where O is the origin is (A) (z_1+z_2)/2 (B) 0 (C) (z_1-z_2)/2 (D) none of these

Number of solutions of Re(z^2)=0 and |z|=rsqrt(2) where z is a complex number and rgt0 is (A) 2 (B) 4 (C) 5 (D) none of these

The points, z_1,z_2,z_3,z_4, in the complex plane are the vartices of a parallelogram taken in order, if and only if (a)z_1+z_4=z_2+z_3 (b)z_1+z_3=z_2+z_4 (c)z_1+z_2=z_3+z_4 (d) None of these

If |z+bar(z)|+|z-bar(z)|=2 then z lies on (a) a straight line (b) a set of four lines (c) a circle (d) None of these

The points A(z_1), B(z_2) and C(z_3) form an isosceles triangle in the Argand plane right angled at B, then (z_1-z_2)/(z_3-z_2) can be (A) 1 (B) -1 (C) -i (D) none of these