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If center of a regular hexagon is at the origin and one of the vertices on the Argand diagram is `1+2i` , then its perimeter is `2sqrt(5)` b. `6sqrt(2)` c. `4sqrt(5)` d. `6sqrt(5)`

A

`2sqrt(5)`

B

`6sqrt(2)`

C

`4sqrt(5)`

D

`6sqrt(5)`

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-COMPLEX NUMBERS -Chapter Test
  1. If (2z(1))/(3z(2)) is purely imaginary number, then |(z(1)-z(2))/(z(1)...

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  2. If omega is a cube root of unity then find the value of sin((omega^(10...

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  3. If center of a regular hexagon is at the origin and one of the vertice...

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  4. if the roots of the equation z^(2) + ( p +iq) z + r + is =0 are real ...

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  5. Q. Let z1, z2, z3 be three vertices of an equilateral triangle circums...

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  6. If omega is the complex cube root of unity, then the value of omega+om...

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  7. The locus of z =I +2exp(i(theta + pi/4)) , ( where theta is parameter...

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  8. If z lies on the circle |z-1|=1, then (z-2)/z is

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  9. If a gt 0 and the equation |z-a^(2)|+|z-2a|=3, represents an ellipse, ...

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  10. For any complex number z , find the minimum value of |z|+|z-2i|dot

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  11. Find the greatest and the least value of |z1+z2| ifz1=24+7ia n d|z2|=6...

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  12. about to only mathematics

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  13. If k gt 1, |z(1)| lt k and |(k-z(1)barz(2))/(z(1)-kz(2))|=1, then

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  14. If |z-i|=1 and arg (z) =theta where 0 lt theta lt pi/2, then cottheta-...

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  15. If Re(z)<0 then the value of (1+z+z^2+.....+z^n) cannot exceed

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  16. If z 1 ​ and z 2 ​ are two non zero complex numbers such that ...

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  17. a and b are real numbers between 0 and 1 such that the points Z1 =a+ i...

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  18. If omega is a cube root of unity, then find the value of the following...

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  19. If a ,b ,c and u ,v ,w are the complex numbers representing the vertic...

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  20. If z=re^(itheta) then |e^(iz)| is equal to:

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