Home
Class 12
MATHS
[" 11.Let "z=1+ai" be a complex number,"...

[" 11.Let "z=1+ai" be a complex number,"a>0" such that "z^(3)" is a real number.Then the sum "],[[1+z+z^(2)+...+z^(n)" is equal to "," (3) "-1365sqrt(3)i]],[[" (1) "-1250sqrt(3)" i "," (2) "1250sqrt(3)," (3) "-1365sqrt(3)," (4) "1365sqrt(3)" i "]]

Promotional Banner

Similar Questions

Explore conceptually related problems

Let z=1+ ai be a complex number,a>0, such that z^(3) is a real number.Then the sum 1+z+z^(2)+...+z^(11) is equal to:

Let z=1+ai be a complex number, a > 0 ,such that z^3 is a real number. Then the sum 1+z+z^2+...+ z^11 is equal to:

Let z!=i be any complex number such that (z-i)/(z+i) is a purely imaginary number. Then z+ 1/z is

Let z!=i be any complex number such that (z-i)/(z+i) is a purely imaginary number.Then z+(1)/(z) is

Let z be a complex number such that |(z-5i)/(z+5i)|=1 , then show that z is purely real

Let z_1 and z_2 be two complex numbers such that z_1+z_2 and z_1z_2 both are real, theb

Let z be a complex number such that |z| + z = 3 + i (Where i=sqrt(-1)) Then ,|z| is equal to

Let z be a complex number such that |z|+z=3+I (Where i=sqrt(-1)) Then ,|z| is equal to

Let z_(1)" and "z_(2) be two complex numbers such that z_(1)z_(2)" and "z_(1)+z_(2) are real then