Home
Class 11
MATHS
If n is a positive integer greater than ...

If n is a positive integer greater than unity and z is a complex number satisfying the equation ` z^(n) = ( z + 1) ^(n)` then

A

`Re(z) lt 0`

B

`Re(z) gt 0`

C

`Re(z) = 0 `

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If n is a positive integer greater than unity z is a complex number satisfying the equation z^(n)=(z+1)^(n), then

The complex number z satisfying the equation |z-i|=|z+1|=1

Find a complex number z satisfying the equation z+sqrt(2)|z+1|+i=0

Non-real complex number z satisfying the equation z^(3)+2z^(2)+3z+2=0 are

IF agt=1 , find all complex numbers z satisfying the equation z+a|z+1|+i=0

The roots of the equation z^(n)=(z+3)^(n)

If z is a complex number satisfying z+z^(-1)=1 then z^(n)+z^(-n),n in N, has the value

Find the locus of complex number z, stisfying ( z + 1)^(n) = z^(n)

Number of complex numbers satisfying equation z^(3)=bar(z)&arg(z+1)=(pi)/(4) simultaneously is