Home
Class 11
MATHS
If z=(1)/(z)=2 cos 60^(@), then z^(1000)...

If `z=(1)/(z)=2 cos 60^(@)`, then `z^(1000)+(1)/(z^(1000))+1` is equal to

A

A) 0

B

B) 1

C

`C) 3

D

D) 2

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If z = (2-i)/(i) , then R e(z^(2)) + I m(z^(2)) is equal to a)1 b)-1 c)2 d)-2

If z_(1) and z_(2) are two non-zero complex numbers such that |z_(1) + z_(2)| = |z_(1)| + |z_(2)| , then arg ((z_(1))/(z_(2))) is equal to a)0 b) -pi c) -(pi)/(2) d) (pi)/(2)

If z_(1)=2+3i and z_(2)=3+2i , then |z_(1)+z_(2)| is equal to

Let z_(1)=(2sqrt(3)+i6sqrt(7))/(6sqrt(7)+i2sqrt(3))andz_(2)=(sqrt(11)+i3sqrt(13))/(3sqrt(13)-isqrt(11)) Then, |(1)/(z_(1))+(1)/(z_(2))| is equal to a)47 b)264 c) |z_(1)-z_(2)| d) |z_(1)+z_(2)|

If z _(1) = 2 sqrt2 (1 + i) and z _(2) = 1 + isqrt3, then z _(1) ^(2) z _(2) ^(3) is equal to

If the complex numbers z _(1) , z _(2) and z _(3) denote the vertices of an isosceles triangle, right angled at z _(1), then (z _(1) - z _(2)) ^(2) + (z _(1) - z _(3)) ^(2) is equal to A)0 B) (z _(2) + z _(3)) ^(2) C)2 D)3

If z= cos (pi)/(3) - i sin (pi)/(3) then z^(2)-z+1 is equal to

If |z_(1)|= 2, |z_(2)|= 3 , then |z_(1) + z_(2) +5+12i| is less than or equal to