Home
Class 12
MATHS
Find the value of sum(k=1)^10[sin((2pik)...

Find the value of `sum_(k=1)^10[sin((2pik)/(11))-icos((2pik)/(11))],wherei=sqrt(-1).`

A

i

B

1

C

-1

D

`-i`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Complex Number Exercise 8|3 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Complex Number Exercise 7|11 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

Similar Questions

Explore conceptually related problems

Find the value of: 11^2

Find the value of 2 + (-11/9)

Find the values of: sin((-11pi)/3)

Evaluate p=sum_(p=1)^(32)(3p+2)(sum_(q=1)^(10)(sin""(2qpi)/(11)-icos""(2qpi)/(11)))^(p) , where i=sqrt(-1)

Evaluate sum_(k=1)^11(2+ 3^k) .

Find the value of sin^-1[cos(sin^-1(sqrt3/2))]

Find the value of sum_(r=1)^(10)sum_(s=1)^(10)tan^(-1)(r/s)dot

Find the principal value of sin^-1(1/sqrt2)

Find the principal value of sin^(-1)(-(sqrt(3))/(2))

Find the value of sin(2tan^-1(2/3)) + cos (tan^-1sqrt3)

ARIHANT MATHS-COMPLEX NUMBERS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If omega = z//[z-(1//3)i] and |omega| = 1, then find the locus of z.

    Text Solution

    |

  2. If w=alpha+ibeta, where beta!=0 and z!=1 , satisfies the condition tha...

    Text Solution

    |

  3. Find the value of sum(k=1)^10[sin((2pik)/(11))-icos((2pik)/(11))],wher...

    Text Solution

    |

  4. If z^2+z+1=0 where z is a complex number, then the value of (z+1/z)^2+...

    Text Solution

    |

  5. A man walks a distance of 3 units from the origin towards the North-...

    Text Solution

    |

  6. If |z|=1 and z!=1, then all the values of z/(1-z^2) lie on

    Text Solution

    |

  7. If abs(z+4) le 3, the maximum value of abs(z+1) is

    Text Solution

    |

  8. Let A, B, C be three sets of complex number as defined below: A={z:Img...

    Text Solution

    |

  9. What is 5% Equals to

    Text Solution

    |

  10. Express in the form of complex number i^9+i^(19)

    Text Solution

    |

  11. A particle P starts from the point z0=1+2i , where i=sqrt(-1) . It mov...

    Text Solution

    |

  12. If the conjugate of a complex numbers is 1/(i-1), where i=sqrt(-1). Th...

    Text Solution

    |

  13. Let z = x + iy be a complex number where x and y are integers. Then...

    Text Solution

    |

  14. Let z=costheta+isintheta. Then the value of sum(m->1-15)Img(z^(2m-1...

    Text Solution

    |

  15. If |z-4/z|=2 then the greatest value of |z| is:

    Text Solution

    |

  16. Let z(1) and z(2) be two distinct complex numbers and z=(1-t)z(1)+tz(2...

    Text Solution

    |

  17. Find the value of 2^4

    Text Solution

    |

  18. If alpha and beta are the roots of the equation x^2"-"x""+""1""=""0 , ...

    Text Solution

    |

  19. The number of complex numbers z such that |z-1|=|z+1|=|z-i| is

    Text Solution

    |

  20. If z is any complex number satisfying abs(z-3-2i) le 2, where i=sqrt(-...

    Text Solution

    |