Home
Class 11
MATHS
Let z=x+iy and a point P represent zin t...

Let `z=x+iy` and a point P represent zin the argand plane. If the real part of`frac{z-1}{z+i}` is 1, then a point that lies on the locus of P is

A

`(2016,2017)`

B

`(-2016,2017)`

C

`(-2016,-2017)`

D

`(2016,-2017)`

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

If z = x + i y and . P represents z in the Argands plane. Find the locus of P when: z (z + 2) = 3

If z = x + i y and . P represents z in the Argands plane. Find the locus of P when: |z - 2 - 3i| = 5

If z = x + i y and . P represents z in the Argands plane. Find the locus of P when: The real part of (z + 1) / (z + i) is 1

If z = x + iy and p represents z in the Argand's plane. Find the locus of P when. z (bar z + 3) = 2

If z = x + i y and . P represents z in the Argands plane. Find the locus of P when: |z + ai| = |z - ai|

If z = x + i y and . P represents z in the Argands plane. Find the locus of P when: |z + 4i| + |z - 4i| = 10

If z = x + iy and P represents z in the Argand's plane. Find the locus of P when. The amplitude of z - 2 - 3i is pi/4 .

If z = x + i y and P represents z in the Argands plane. Find the locus of P when: (z - i) / (z - 1) is purely imaginary.

If z = x + i y and P represents z in the Argands plane. Find the locus of P when: Re ((z - 4) / (z - 2i)) = 0.

If the imaginary part of frac{2z+1}{iz+1} is -2 , then the locus of the point representing z in the complex plane is