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

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 1|5 Videos
  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 2|7 Videos
  • JEE 2019

    CENGAGE PUBLICATION|Exercise chapter -3|1 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|541 Videos
  • LIMITS

    CENGAGE PUBLICATION|Exercise Comprehension Type|4 Videos

Similar Questions

Explore conceptually related problems

If the equation x^3+b x^2+c x+1=0,(b (a) -pi (b) -pi/2 (c) pi/2 (d) pi

The range of f(x)=sin^(-1)(sqrt(x^2+x+1)) i s (a) (0,pi/2) (b) (0,pi/3) (c) [pi/3,pi/2] (d) [pi/6,pi/3]

The common roots of the equations z^3+2z^2+2z+1=0 and z^1985+z^100+1=0 are

If z=sec^(-1)(x+1/x)+sec^(-1)(y+1/y), where x y<0, then the possible values of z is (are) (8pi)/(10) (b) (7pi)/(10) (c) (9pi)/(10) (d) (21pi)/(20)

If a r g(z)<0, then a r g(-z)-"arg"(z) equals pi (b) -pi (d) -pi/2 (d) pi/2

If z_1,z_2,z_3 are any three roots of the equation z^6=(z+1)^6, then arg((z_1-z_3)/(z_2-z_3)) can be equal to

If roots of the equation 2x^2-4x+2sintheta-1=0 are of opposite sign, then theta belongs to (pi/6,(5pi)/6) (b) (0,pi/6)uu((5pi)/6,pi) ((13pi)/6,(17pi)/6) (d) (0,pi)

If z=(i)^((i)^(i)) w h e r e i=sqrt(-1),t h e n|z| is equal to a. 1 b. e^(-pi//2) c. e^(-pi) d. none of these

If z_1a n dz_2 are the complex roots of the equation (x-3)^3+1=0,t h e nz_1+z_2 equal to a. 1 b. 3 c. 5 d. 7

The smallest positive root of the equation tanx-x=0 lies in (a) (0,pi/2) (b) (pi/2,pi) (pi,(3pi)/2) (d) ((3pi)/2,2pi)

CENGAGE PUBLICATION-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 i sin theta ) is pu...

    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 I m(z)=...

    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 a1, a2,...,a30 be an AP, S=sum(i=1)^(30)ai and T=sum(i=1)^(15)a(2i...

    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

    |