Home
Class 11
MATHS
Write the value of (i^(592)+i^(590)+i^(5...

Write the value of `(i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+i^(580)+i^(578)+i^(576)+i^(574))\ dot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMBINATIONS

    RD SHARMA ENGLISH|Exercise All Questions|117 Videos

  • DERIVATIVES

    RD SHARMA ENGLISH|Exercise All Questions|230 Videos

Similar Questions

Explore conceptually related problems

Find the value of (i) (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+i^(580)+i^(578)+i^(576)+i^(574)) (i) -1 (ii) (1+i)^6+(1-i)^6

Find the value of (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+i^(580)+i^(578)+i^(576)+i^(574))-1 (1+i)^6+(1-i)^6

The value of (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+i^(580)+i^(578)+i^(576)+i^(574))-1\ is a. -1 b. -2 c. -3 d. -4

The value of i^(i) , is

Find the value of i^(4) + i^(5) + i^(6) + i^(7) .

The value of i^n + i^-n

Find the value of i^(12)+i^(13)+i^(14)+i^(15)

The value of (1+i) (1-i^(2)) (1+i^(4))(1-i^(5)) is

the value of ((i^(11)+i^(12)+i^(13)+i^(14) +i^(15)))/((1+i)) is

Find the value of (i)omega^(21)(i i)omega^(18)

RD SHARMA ENGLISH-COMPLEX NUMBERS-All Questions
  1. If pi < theta <2pi and z=1+costheta+isintheta , then write the value o...

    Text Solution

    |

  2. If n is any positive integer, write the value of (i^(4n+1)-i^(4n-1))/2...

    Text Solution

    |

  3. Write the value of (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+...

    Text Solution

    |

  4. Write 1-i in polar form.

    Text Solution

    |

  5. Write 1+isqrt(3)\ in polar form.

    Text Solution

    |

  6. Write the argument of idot

    Text Solution

    |

  7. Find the principal argument of (1+isqrt(3))^2dot

    Text Solution

    |

  8. Find z ,\ if\ |z|=4\ and \ arg(z)=(5pi)/6 where z represents a complex...

    Text Solution

    |

  9. Write the value of sqrt(-25)xxsqrt(-9)dot

    Text Solution

    |

  10. Write the value of a r g(z)+a r g( barz ) .

    Text Solution

    |

  11. If |z+4|lt=3 then find the greatest and least values of |z+1|dot

    Text Solution

    |

  12. For any two complex numbers z1\ a n d\ z2 and any two real numbers a ,...

    Text Solution

    |

  13. If n in NN ,then find the value of i^n+i^(n+1)+i^(n+2)+i^(n+3).

    Text Solution

    |

  14. Find the real value of a for which 3i^3-2a i^2+(1-a)i+5 is real.

    Text Solution

    |

  15. If |z|=2 and arg (z)=pi/4 , find z.

    Text Solution

    |

  16. Write the argument of (1+isqrt(3))(1+i)(costheta+isintheta).

    Text Solution

    |

  17. The value of (1+i)(1+i^2)(1+i^3)(1+i^4) is a. 2 b. 0 c. 1 d. i

    Text Solution

    |

  18. If (3+2i sintheta)/(1-2i sintheta) is a real number and 0lt theta lt 2...

    Text Solution

    |

  19. If sqrt(a+i b)=x+i y ,\ then possible value of sqrt(a-i b) is a. x^2+...

    Text Solution

    |

  20. If z=cos(pi/4)+isin(pi/6) , then a. |z|=1, arg(z)=\ pi/4 b. |z|=1, arg...

    Text Solution

    |