Home
Class 11
MATHS
If z(2-i)=3+I,z^(20)=...

If `z(2-i)=3+I,z^(20)`=

A

1+i

B

1024

C

`-1024`

D

1-i

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If z^(1) =2 -I, z_(2)=1+i , find |(z_(1) + z_(2) + 1)/(z_(1)-z_(2) + 1)|

If z_(1)=8+4 i, z_(2)=6+4 i and arg ((z-z_(1))/(z-z_(2)))=(pi)/(4) then z satisfies

If z_(1)=1+i, z_(2)=sqrt(3)+i, then arg ((z_(1))/(z_(2)))^(50)=

If z(2-2 sqrt(3) i)^(2)=i(sqrt(3)+i)^(4) then arg z=

If |z_(1)| = 1, |z_(2)| =2, |z_(3)|=3, and |9z_(1)z_(2) + 4z_(1)z_(3)+ z_(2)z_(3)|= 12 , then find the value of |z_(1) + z_(2) + z_(3)| .

Find the arguments of z_(1)=5+5i,z_(2)=-4+4i,z_(3)=-3-3i and z_(4)=2-2i, where i=sqrt(-1).

Find the principal value of the arguments of z_(1)=2+2i,z_(2)=-3+3i,z_(3)=-4-4iand z_(4)=5-5i,where i=sqrt(-1).

Let z_(1)=2-i, z_(2)=-2+i . Find the imaginary part of (1)/(z_(1)bar(z_(2)))

If f(z)=(7-z)/(1-z^(2)), where z=1+2 i, then |f(z)| is

If z=x+i y, z^(1 / 3)=a-i b and (x)/(a)-(y)/(b)=k(a^(2)-b^(2)) then the value of k=