The number of solutions of `sqrt(2)|z-1|=z-i, where z=x+iy` is (A) 0 (B) 1 (C) 2 (D) 3

The number of solutions of equation |z|^(2)-(3+i)z-(3-i)bar(z)-6=0 is (A) 0 (B) 1(C)2(D)oo

If z+sqrt(2)|z+1|+i=0 , then z= (A) 2+i (B) 2-i (C) -2-i (D) -2+i

If z+sqrt(2)|z+1|+i=0 and z=x+iy then

Number of imaginary complex numbers satisfying the equation, z^2=bar(z)2^(1-|z|) is (A) 0 (B) 1 (C) 2 (D) 3

What is the number of distinct solutions of the equation z^(2)+|z|=0 (where z is a complex number)? (a) One (b) Two (c) Three (d) Five

Solve the equation: z^(2)+z+1=0 . Where z=x+iy.

The number of solutions of the system of equations x+y+z = 4, 2x + 5y – 2z = 3 and x + 7y – 7z = 5, is /are a)0 b)1 c)2 d)infinite

Number of solutions of Re(z^(2))=0 and |Z|=a sqrt(2) , where z is a complex number and a gt 0 , is

The locus of z satisfying the inequality |(z+2i)/(2z+1)|<1, where z=x+iy, is :

If z=2-i sqrt(3) then z^(4)-4z^(2)+8z+35 is (A) 6(B)0(C)1 (D) 2