Question

Which of the following satisfies |z + 1| = z + 2 + 2i

Solution

Correct option is

1/2 – 2i

As L.H.S. is real, Im (z) =  – 2

SIMILAR QUESTIONS

Q1

If z1 and z2 lie on the same side the line  

Q2

If z1 and z2 are the roots of the equation z2 +az +b = 0, then prove that the origin, z1 and z2 from an equilateral triangle if and only if

Q5
Q6

The number of complex numbers satisfying the equation |z| = 2 and |z| =|z – 1| is

Q7

And z+ 1 is

Q8

If z1, z2, z3 are three complex numbers such that 4z­1 – 7z2 + 3z3 = 0, then z­1, z2, z3 are

Q9

If z2/(z – 1) is always real, then z can lie on

Q10

Let S denote the set of complex numbers z such that the S is contained in