Home
Class 12
MATHS
Let Z0 is the root of equation x^2+x+1=0...

Let `Z_0` is the root of equation `x^2+x+1=0` and `Z=3+6i(Z_0)^(81)-3i(Z_0)^(93)` Then arg `(Z)` is equal to (a) `(pi)/(4)` (b) `(pi)/(3)` (c) `pi` (d) `(pi)/(6)`

A

`(pi)/(4)`

B

`(pi)/(3)`

C

0

D

`(pi)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If Z=-1+ i be a complex number. Then arg(Z) is equal to O pi O (3pi)/4 O pi/4 O 0

If Z=-1+ i be a complex number. Then arg(Z) is equal to O pi O (3pi)/4 O pi/4 O 0

If Z=-1+ i be a complex number. Then arg(Z) is equal to O pi O (3pi)/4 O pi/4 O 0

If z=(1+2i)/(1-(1-i)^(2)), then arg (z) equals a.0 b.(pi)/(2) c.pi d .non of these

if arg(z+a)=(pi)/(6) and arg(z-a)=(2 pi)/(3) then

If (pi)/(2) and (pi)/(4) are the arguments of z_ (1) and bar (z_ (2)) respectively, then Arg ((z_ (1))/(z_ (2)) ) = (i) 3 (pi)/(4) (ii) (pi)/(4) (iii) pi (iv) (pi)/(3)

The angle between the planes 2x-y+z=6 and x+y+2z=7 is (A) pi/4 (B) pi/6 (C) pi/3 (D) pi/2

Find the value of z, if |z |= 4 and arg (z) = (5pi)/(6) .

CENGAGE-JEE 2019-MCQ
  1. The number of integral values of m for which the quadratic expression ...

    Text Solution

    |

  2. Let A={theta in (-pi /2,pi):(3+2i sin theta )/(1-2 sin theta ) is pure...

    Text Solution

    |

  3. Let Z0 is the root of equation x^2+x+1=0 and Z=3+6i(Z0)^(81)-3i(Z0)^(9...

    Text Solution

    |

  4. Let z(1) and z(2) be any two non-zero complex numbers such that 3|z(1)...

    Text Solution

    |

  5. If z=(sqrt(3)/2+i/2)^5+(sqrt(3)/2-i/2)^5 , then prove that Im(z)=0

    Text Solution

    |

  6. Let (-2 -1/3 i)^3=(x+iy)/27 (i= sqrt(-1)) where x and y are real numbe...

    Text Solution

    |

  7. Let (z-alpha)/(z+alpha) is purely imaginary and |z|=2, alphaepsilonR t...

    Text Solution

    |

  8. Let Z(1) and Z(2) be two complex numbers satisfying |Z(1)|=9 and |Z(2)...

    Text Solution

    |

  9. Consider the statement : " P(n) : n^(2)-n+41 is prime." Then, which on...

    Text Solution

    |

  10. If a ,b ,c are three distinct real numbers in G.P. and a+b+c=x b , the...

    Text Solution

    |

  11. Let a(1), a(2), ..., a(30) be an A. P., S = Sigma(i=10)^(30) a(1) and ...

    Text Solution

    |

  12. The sum of series 1+6+(9(1^(2)+2^(2)+3^(2)))/(7) + (12(1^(2)+2^(2)+...

    Text Solution

    |

  13. Let a, b and c be the 7th, 11th and 13th terms, respectively, of a non...

    Text Solution

    |

  14. The sum of all two-digit positive numbers which when divided by 7 yiel...

    Text Solution

    |

  15. If 5, 5r and 5r^(2) are the lengths of the sides of a triangle, then r...

    Text Solution

    |

  16. The sum of an infinite geometric series with positive terms is 3 and t...

    Text Solution

    |

  17. Let a1, a2, a3, ?a10 are in G.P. if a3/a1 =25 then a9/a5 is equal to ...

    Text Solution

    |

  18. If 19^(th) term of a non-zero A.P. is zero, then (49^(th) term) : (29^...

    Text Solution

    |

  19. The product of three consecutive terms of a GP is 512. If 4 is added t...

    Text Solution

    |

  20. Let S(k) = (1+2+3+...+k)/(k). If S(1)^(2) + s(2)^(2) +...+S(10)^(2) = ...

    Text Solution

    |