Home
Class 12
MATHS
If (1+i) (1+2i) (1+3i) ….. (1+ni ) = x+...

If `(1+i) (1+2i) (1+3i) ….. (1+ni ) = x+iy` then 2.5.10 …. `(1+n^(2))=`

A

0

B

1

C

`1+n^(2)`

D

`x^(2) +y^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|13 Videos
  • MOCK TEST PAPER -II

    MODERN PUBLICATION|Exercise SELECT CORRECT ANSWER|60 Videos

Similar Questions

Explore conceptually related problems

If ((1+i)/(1-i))^(3)-((1-i)/(1+i))^(3)=x+i y then (x, y)=

If the conjugate of (x + iy) ( 1 - 2i) is 1 + i , then

(1+i)^(2 n)+(1-i)^(2 n), n in z is

((1-i)/(1+i))^(2)=

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

Express (1+3i)/(1-2i) in the form a+ib .

1+i^(2)+i^(4)+i^(6)+... .+i^(2 n)=

If I_(1) = int sin^(-1) x dx and I_(2) = int sin^(-1) sqrt(1-x^(2))dx then

Express (2+i)/(1-3i) is the form x+iy

If |{:(6i,-3i,1),(4,-3i,-1),(20,3,i):}|=x+iy , then :

MODERN PUBLICATION-MOCK TEST PAPER -I-SELECT THE CORRECT ANSWER
  1. In the group {1,2,3,4,5,6} under multiplication mod 7,2^(-1) xx 4=

    Text Solution

    |

  2. If 2 x =-1 + I sqrt(3) then the value of (1-x^(2) +x)^(6) - (1-x+x^...

    Text Solution

    |

  3. If (1+i) (1+2i) (1+3i) ….. (1+ni ) = x+iy then 2.5.10 …. (1+n^(2))=

    Text Solution

    |

  4. Let p and q be real number such that p ne 0 , p^(3) ne q and p^(3...

    Text Solution

    |

  5. Let alpha and beta the roots of x^(2) -6x -2=0 with alpha gt be...

    Text Solution

    |

  6. A value of b for which the equations : x^(2) + bx - 1= 0, x^(2) + x ...

    Text Solution

    |

  7. If the value of C(0) + 2C(1) + 3C(2) + ……. + (n+1) C(n) =576 then n i...

    Text Solution

    |

  8. The sum of first 9 terms of the series : 1^3/1+(1^3+2^3)/(1+3)+(1...

    Text Solution

    |

  9. The line joining A(2-7) and B (6,5 ) is divided into 1 equal parts ...

    Text Solution

    |

  10. The distance of the focus of x^(2) - y^(2) =4 from the directrix w...

    Text Solution

    |

  11. If the coefficient of variation and standard deviation are 60 and 21 ...

    Text Solution

    |

  12. The value of sin(2 sin^(-1)0.8) is equal to

    Text Solution

    |

  13. If p to(qvvr) is false, then the truth values of p,q,r are respectivel...

    Text Solution

    |

  14. sin (2 sin^(-1) sqrt((63)/(65)))=

    Text Solution

    |

  15. If x ne n pi, x ne (2n+1) (pi)/(2) n in Z, then : sin^(-1) ((si...

    Text Solution

    |

  16. The value sin^(-1) ((2sqrt(2))/3) +sin^(-1)(1/3) is equal to

    Text Solution

    |

  17. Solve for X :

    Text Solution

    |

  18. The constant term of the polynormial {|:(x+3,x,x+2),(x,x+1,x-1),(...

    Text Solution

    |

  19. If A= |(x,1,1),(1,x,1),(1,1,x)| and B = |(x,1),(1,x)|, " then " (dA)/(...

    Text Solution

    |

  20. If P = |(x,1),(1,x)|and Q = |(x,1,1),(1,x,1),(1,1,x)| then (dQ)/(dx) =

    Text Solution

    |