Home
Class 11
MATHS
If z is a normal root of root7(-1) then ...

If z is a normal root of `root7(-1)` then find the value of `z^(86) + z^(175) + z^(289)`

Text Solution

Verified by Experts

The correct Answer is:
`-1`
Promotional Banner

Similar Questions

Explore conceptually related problems

If z+ sqrt2 |z+1| +ii=0 then the value of |z|^(2) is

If z is a complex number such that z+ |z|=8 +12i then the value of |z^2| is

If z=1+i , then the argument of z^(2)e^(z-i) is

If z ^(2) + z + 1 = 0, where z is a complex number, then the value of (z + (1)/(z)) ^(2) + (z ^(2) + (1)/( z ^(2))) ^(2) + (z ^(3) + (1)/(z ^(3))) ^(2) +...( z ^(6) + (1)/(z ^(6)) )^(2) is

If |z|=1 and z ne +- 1 , then one of the possible values of arg(z)- arg (z+1)- arg (z-1) , is

If (pi)/(3) and (pi)/(4) are argument of z_(1) and bar(z)_(2) then the value of arg (z_(1)z_(2)) is

If z= r (cos theta + i sin theta) , then the value of (z)/(bar(z)) + (bar(z))/(z) is

If |z+bar(z)|= |z-bar(z)| , then the locus of z is

If (-1)ltx, y, z le 1 such that sin ^(-1) x+sin ^(-1) y+sin ^(-1) z=(3 pi)/2 , find the value of x^(2000)+y^(2001)+z^(2002)-(9/(x^(2000)+y^(2001)+z^(2002)))