Home
Class 11
MATHS
If z=cos((pi)/(3))-isin((pi)/(3)) then z...

If `z=cos((pi)/(3))-isin((pi)/(3))` then `z^(2)-z+1=....`

A

`-2i`

B

2

C

0

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise LATEST EXAM MCQS|1 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|16 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE :|21 Videos

  • BINOMIAL THEOREM

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE|7 Videos

  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE|9 Videos

Similar Questions

Explore conceptually related problems

If z_r=cos(pi/(3^r))+isin(pi/(3^r)),r=1,2,3, , prove that z_1z_2z_3 .... z_oo=i

Let omega be the complex number cos((2pi)/3)+isin((2pi)/3) . Then the number of distinct complex numbers z satisfying Delta=|(z+1,omega,omega^2),(omega,z+omega^2,1),(omega^2,1,z+omega)|=0 is

If z_(r)=cos((ralpha)/(n^(2)))+isin((ralpha)/(n^(2))),"where"r=1,2,3,...,nandi=sqrt(-1),"then"lim_(n to oo) z_(1)z_(2)z_(3)...z_(n) is equal to

If z=(1)/((2+3i)^(2)) then |z|=...

The principal value of arg (z) , where z=1+cos((8pi)/5)+i sin((8pi)/5) (where, i=sqrt-1) is given by

Fill in the blanks of the following If |z|=4" and arg"(z)=(5pi)/(6) , then z=.....

Fill in the blanks of the following If |(z-2)/(z+2)|=(pi)/(6) then the locus of z is.....

If arg ((z_(1) -(z)/(|z|))/((z)/(|z|))) = (pi)/(2) and |(z)/(|z|)-z_(1)|=3 , then |z_(1)| equals to

Convert the complex number z=(1-i)/(cos pi/3 + I sin pi/3) in the polar form.