Home
Class 12
MATHS
sqrt(-1-sqrt(-1-sqrt(-1oo))) is equal to...

`sqrt(-1-sqrt(-1-sqrt(-1oo)))` is equal to (where `omega` is the imaginary cube root of unity and `i=sqrt(-1))`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

(3-sqrt(-16))/(1-sqrt(-25)) is equal to

(sqrt(3)-1/(sqrt(3)))^2 is equal to

1+(sqrt(2))/(2-sqrt(2)) is equal to

1/(sqrt(9)-\ sqrt(8)) is equal?

sqrt((-8-6i)) is equal to (where, i=sqrt(-1)

If omega is a cube root of unity, then 1+omega = …..

int(sqrt(x-1))/(x sqrt(x+1))dx " is equal to "

If omega is a cube root of unity, then 1+ omega^(2)= …..

(sqrt(2) + 1)^(6) - (sqrt(2) -1)^(6) is equal to

The value of the expression 1.(2-omega).(2-omega^2)+2.(3-omega)(3-omega^2)+.+(n-1)(n-omega)(n-omega^2), where omega is an imaginary cube root of unity, is………

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If [.] is the greatest integer function and f(x)=[tan^2x], then (a) ("...

    Text Solution

    |

  2. If (1+x+x^2++x^p)^n=a0+a1x+a2x^2++a(n p)x^(n p), then find the value o...

    Text Solution

    |

  3. sqrt(-1-sqrt(-1-sqrt(-1oo))) is equal to (where omega is the imaginary...

    Text Solution

    |

  4. Evaluate: ("lim")(nvec0)8/(x^8){1-cos(x^2)/2-cos(x^2)/4+cos(x^2)/2cos(...

    Text Solution

    |

  5. If (1+x)^(15)=C0+C1x+C2x^2++C(15)x^(15), then find the su of C1+2C3+3C...

    Text Solution

    |

  6. G i v e nint0^(pi/2)(dx)/(1+sinx+cosx)=log2. Then the value of integr...

    Text Solution

    |

  7. If y=y(x) and (2+sinx)/(y+1)((dy)/(dx))=-cosx ,y(0)=1, then y(pi/2)=

    Text Solution

    |

  8. There are six periods in each working day of a school. Find the number...

    Text Solution

    |

  9. Prove that: In=int0^oox^(2n+1) e^ (-x^2) dx=(n !)/2,n in N.

    Text Solution

    |

  10. The number of all possible selections of one or more questions from 10...

    Text Solution

    |

  11. overset(pi)underset(-pi)int [cos px-sin qx]^(2) dx where p,q are integ...

    Text Solution

    |

  12. A forecast forr Indian team is to be made of the results of five crick...

    Text Solution

    |

  13. If z=x+iy then the equation of a straight line A x+B y+C=0 where A ,B ...

    Text Solution

    |

  14. sum(r=0)^n(-1)^r^n Cr[1/(2^r)+3/(2^(2r))+7/(2^(3r))+(15)/(2^(4r))+ u p...

    Text Solution

    |

  15. If two events A and B are such that P(A^c)=0. 3. P(B)=0. 4a n dP(AnnB^...

    Text Solution

    |

  16. If four G.M.s are inserted between k1c and k2d , where k2=64 k1, then ...

    Text Solution

    |

  17. How many different nine-digit numbers can be formed from the digits of...

    Text Solution

    |

  18. 18 points are indicated on the perimeter of a triangle ABC . If three ...

    Text Solution

    |

  19. If P(A)=0. 59 ,P(B)=0. 30P(AnnB)=0. 21 , then P(A^(prime)nnB^(prime)...

    Text Solution

    |

  20. If the difference between mean and m0de is 63, the difference between ...

    Text Solution

    |