Home
Class 12
MATHS
If ((1-i)/(1+i))^(96)=a+ib , then (a,b) ...

If `((1-i)/(1+i))^(96)=a+ib` , then (a,b) is

A

(1,1)

B

(1,0)

C

(0,1)

D

(0,-1)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2017

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

  • KARNATAKA CET 2019

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

If (1-ialpha)/(1+ialpha)=A+iB , then A^(2)+B^(2) is :

The value of ((1+i)/(1-i))^(4 n)=

if cos (1-i) = a+ib, where a , b in R and i = sqrt(-1) , then

Express i^(18) + ((1)/(i))^(25) in a + ib form.

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

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2018-MATHEMATICS
  1. If P (n) : ''2^(2n)-1 is divisible by for all n in N'' is true , then ...

    Text Solution

    |

  2. Find the equation of the line parallel to the line 3x -4y + 2=0 and pa...

    Text Solution

    |

  3. If ((1-i)/(1+i))^(96)=a+ib , then (a,b) is

    Text Solution

    |

  4. The distance between the focii of a hyperbola is 16 and its eccentrici...

    Text Solution

    |

  5. In how many ways can 5 girls and 3 boys be selected in a row so that ...

    Text Solution

    |

  6. If a, b, c are three consecutive terms of an A.P. and x,y,z are three ...

    Text Solution

    |

  7. The value of {:(lim),(xrarr0):}(|x|)/x is

    Text Solution

    |

  8. Let f(x) = x - 1/x , then f' (-1) is

    Text Solution

    |

  9. The negation of the statement ''72 is divisible by 2 and 3'' is

    Text Solution

    |

  10. The probability of happening of an event A is 0.5 and that of B is 0.3...

    Text Solution

    |

  11. In a simultaneous throw of pair of dice , the probability of getting a...

    Text Solution

    |

  12. If A and B are mutually excusive events, given that P(A) = 3/5 , P(B)=...

    Text Solution

    |

  13. Let f, g : R rarrR be two functions defined as f(x) = |x| + x and g(x)...

    Text Solution

    |

  14. A is a set having 6 distinct elements . The number of distinct functio...

    Text Solution

    |

  15. Let f : R rarrR be defined by f(x)={{:(2x ,,,x gt3 ),(x^2,,,1 lt xle...

    Text Solution

    |

  16. If sin^(-1) x + cos ^(-1) y = (2pi)/5 , then cos^(-1) x + sin ^(-1) y...

    Text Solution

    |

  17. The value of the expression tan(1/2cos^(-1)""2/sqrt5) is

    Text Solution

    |

  18. If A=[(2,-2),(-2,2)], then A^n=2^kA , where k =

    Text Solution

    |

  19. If [(1,1),(-1,1)][(x),(y)]=[(2),(4)], then the values of x and y resp...

    Text Solution

    |

  20. If A=[(cas alpha, sinalpha),(-sinalpha,cosalpha)], AA'=

    Text Solution

    |