Question

And z+ 1 is

Solution

Correct option is

1

The line joining z1 + 1 and z + 1 is parallel to the line joining z1 and z2and is at distance 1 from it.

∴ z is a distance one from the line joining z1 + 1 and z2 +1

SIMILAR QUESTIONS

Q1

The quadrilateral formed by the points with affix 0, z, z, iz and iz is

Q3

Sum of the common roots of 

Q4

If z1 and z2 lie on the same side the line  

Q5

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

Q8
Q9

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

Q10

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