Home
Class 12
MATHS
(1+i)^(5)+(1-i)^(5)...

`(1+i)^(5)+(1-i)^(5)`

A

`-8`

B

81

C

8

D

32

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DE MOIVRE'S THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-1|5 Videos

  • DE MOIVRE'S THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-2|3 Videos

  • DE MOIVRE'S THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-4|3 Videos

  • COORDINATE SYSTEM (3D)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET- 4)|3 Videos

  • DEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUSTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1,2,3 OR 4 GIVEN (SET-4)|8 Videos

Similar Questions

Explore conceptually related problems

If ((1+i)/(1 -i)) - ((1 - i)/(1 +i)) = x +iy find x and y .

If ((1 + i)/(1- i))^(x) = 1 then

(1-i)(1+2i)(1-3i)=

Reduce (1/(1-4i) -2/(1+i))((3-4i)/(5+i)) to the standard form.

Express the following in the form of a+bi, (i) (-5i) (1/8 i) , (ii) (-i)(2i)(-1/8i)^(3)

If A=[(2,2,1),(1,3,1),(1,2,2)] then A^(-1)+(A-5I)(A-I)^(2)=

Reduce the complex numbers 3 + 4i, 3/2 (7 +i) (1+i), (2(i-18))/((1 + i)^2), (5(i-3))/(1 + i) to a + ib form. Show that the four points represented by these complex numbers from a square

((1+i)/(1-i))^4+((1-i)/(1+i))^4=

DIPTI PUBLICATION ( AP EAMET)-DE MOIVRE'S THEOREM-EXERCISE 1
  1. ((1+sintheta+icostheta)/(1+sintheta-icostheta))^(n)

    Text Solution

    |

  2. If n is a positive integer, show that (1 + i)^(n) + (1 - i)^(n)...

    Text Solution

    |

  3. (1+i)^(5)+(1-i)^(5)

    Text Solution

    |

  4. (sqrt3+i)^(7)+(sqrt3-i)^(7)

    Text Solution

    |

  5. If n is a positive integer and (1+i)^(2n)+(1-i)^(2n)=kcos(npi//2) then...

    Text Solution

    |

  6. If n is a positive niteger, then (sqrt3+i)^(n)+(sqrt3-i)^(n)

    Text Solution

    |

  7. If n is a positive integer and (1+isqrt3)^(n)+(1-isqrt3)^(n)=2^(n+1)co...

    Text Solution

    |

  8. If n is an integer which leaves remainder one when divided by three, t...

    Text Solution

    |

  9. ((-1+isqrt3)/(2))^(3n)+((-1-isqrt3)/(2))^(3n)

    Text Solution

    |

  10. (1+costheta+isintheta)^(n)+(1+costheta-isintheta)^(n)

    Text Solution

    |

  11. (costheta+isintheta)^(10)+(costheta-isintheta)^(10)

    Text Solution

    |

  12. If n is a positive integer, then (a+ib)^(m//n)+(a-ib)^(m//n)

    Text Solution

    |

  13. [(cos alpha-cos beta)+i(sin alpha-sinbeta)]^n+[(cos alpha-cos beta)-i(...

    Text Solution

    |

  14. If (sqrt3+i)^(100)=2^(99)(a+ib) then b=

    Text Solution

    |

  15. A value of n such that ((sqrt3)/(2)+(i)/(2))^(n)=1 is

    Text Solution

    |

  16. If n is a multiple of 3, then ((-1+isqrt3)/(2))^(n)+((-1-isqrt3)/(2))^...

    Text Solution

    |

  17. 4+5(-(1)/(2)+(isqrt3)/(2))^(334)+3(-(1)/(2)+(isqrt3)/(2))^(365)

    Text Solution

    |

  18. ((-1+isqrt3)/(2))^(6)+((-1-isqrt3)/(2))^(6)

    Text Solution

    |

  19. If n is an integer and z=-1+isqrt3," then "z^(2n)+2^(n).z^(n)+2^(2n)

    Text Solution

    |

  20. If theta=pi//6 then the 10th term of the series 1+(costheta+isintheta)...

    Text Solution

    |