If z is nanreal root of ""^(7)sqrt(-1),...

If z is nanreal root of `""^(7)sqrt(-1)`, then find the value of `z ^(86) + z^(175) + z^(289)`.

A

0

B

`-1`

C

3

D

1

Text Solution

Verified by Experts

The correct Answer is:

B

Topper's Solved these Questions

COMPLEX NUMBERS
VMC MODULES ENGLISH|Exercise LEVEL - 2|50 Videos
COMPLEX NUMBERS
VMC MODULES ENGLISH|Exercise NUMRICAL VALUE TYPE FOR JEE MAIN|14 Videos
COMPLEX NUMBERS
VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos
CIRCLES
VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|68 Videos
CONIC SECTIONS
VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos

Similar Questions

Explore conceptually related problems

If z is a non real root of root(7)(-1) , then find the value of z^(86)+z^(175)+z^(289)dot

If z is nonreal root of [-1]^[1/7] then,find the value of z^86 + z^175 + z^289

If z + z^(-1)= 1 , then find the value of z^(100) + z^(-100) .

Find the value of z^3-3(z-10) for z=10

If z=4+isqrt(7) , then find the value of z^2-4z^2-9z+91.

If z=(1+i)/sqrt2 , then the value of z^1929 is

If z=1+2i , show that z^(2)-2z+5=0 . Hence find the value of z^(3) +7z^(2)-z+16 .

If |(z-25)/(z-1)| = 5 , the value of |z| is -

If (z-1)/(z+1) is a purely imaginary number (z ne - 1) , then find the value of |z| .

VMC MODULES ENGLISH-COMPLEX NUMBERS -LEVEL - 1

If omega is a complex cube root of unity, then ((1+i)^(2n)-(1-i)^(2n))...
Text Solution
|
If the fourth roots of unity are z1, z2, z3, z4 and z1^2+z2^2+z3^2+z4^...
Text Solution
|
If z is nanreal root of ""^(7)sqrt(-1), then find the value of z ^(86...
Text Solution
|
The angle that the vector representing the complex number 1/(sqrt3-i)...
Text Solution
|
If omega is a complex cube root of unity, then value of expression cos...
Text Solution
|
The product of all n^(th) root of unity is always
Text Solution
|
If alpha is nonreal and alpha= (1)^(1/5) then the find the value of 2...
Text Solution
|
If alpha and beta are the roots of the equation x^(2) + x+ 1 = 0, the...
Text Solution
|
The value of i^(1+ 3+5.....+(2n +1)) is .
Text Solution
|
The product of cube roots of –1 is equal :
Text Solution
|
If omega is an imaginary cube root of unity, then (1+omega-omega^2)^7 ...
Text Solution
|
If omega is a cube root of unity then find the value of sin((omega^(10...
Text Solution
|
Find the sum 1xx(2-omega)xx(2-omega^(2))+2xx(-3-omega)xx(3-omega^(2))+...
Text Solution
|
The argument of (1-isqrt(3))/(1+isqrt(3)) is 60^0 b. 120^0 c. 210^0 d....
Text Solution
|
Evaluate: sqrt(-2+2sqrt(3)i)
Text Solution
|
Using De Moivre 's theorem prove that : ((1+cos theta +i sin theta)/...
Text Solution
|
Simplify: (sqrt(5+12 i)+sqrt(5-12 i))/(sqrt(5+12 i)-sqrt(5-12 i))
Text Solution
|
If z1,z2 are two complex numbers such that Im(z1+z2)=0,Im(z1z2)=0, the...
Text Solution
|
(1+2i+3i^2)/(1-2i+3i^2) equals i b. -i c. -1 d. 4
Text Solution
|
If sqrt(3)+i=(a+i b)//(c+i d) , then find the value of tan^(-1)(b//a)t...
Text Solution
|