Home
Class 12
PHYSICS
Let omegabe a complex number which sati...

Let `omega`be a complex number which satisfies `iomega=(u^(2)-1)/(u^(2)+1)` for some suitable complex number u, then value of `tan ^(-1)(omega)` is -.

A

lnu

B

ilnu

C

`-ilnu`

D

`lnu`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    ALLEN|Exercise PHYSICS|18 Videos
  • TEST PAPER 4

    ALLEN|Exercise PHYSICS|45 Videos
  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN|Exercise Exercise (J-A)|7 Videos

Similar Questions

Explore conceptually related problems

If z is a complex number satisfying |z-3|<=4 and | omega z-1-omega^(2)|=a (where omega is complex cube root of unity then

Let z and omega be two complex numbers such that |z|=1 and (omega-1)/(omega+1)=((z-1)/(x+1))^(2) . Then the maximum value of |omega + 1| is

If omega is a complex cube root of unity, then arg (iomega) + "arg" (iomega^(2))=

Let omega be the complex number cos((2 pi)/(3))+i sin((2 pi)/(3))* Then the number of distinct complex cos numbers z satisfying Delta=det[[omega,z+omega^(2),1omega,z+omega^(2),1omega^(2),1,z+omega]]=0 is

If the complex number z and omega satisfies z^(3)+omega^(-7)=0 and z^(5)*omega^(11)=1 then

If omega be a complex cube root of unity then the value of (1)/(1+2 omega)-(1)/(1+omega)+(1)/(2+omega) is

"int(tan^(-1)u)/((1+u)^(2))du

Suppose z and omega are two complex number such that |z|leq1 , |omega|leq1 and |z+iomega|=|z-ibar omega|=2 The complex number of omega can be

Let z and omega be two complex numbers such that |z|=1 and (omega-1)/(omega+1) = ((z-1)^2)/(z+1)^2 then value of |omega-1| +|omega+1| is equal to____________

ALLEN-TEST PAPERS-MATHS
  1. If complex number z(zne2) satisfies the equation z^(2)=4z+|z|^(2)+(16)...

    Text Solution

    |

  2. Let omegabe a complex number which satisfies iomega=(u^(2)-1)/(u^(2)+...

    Text Solution

    |

  3. If the function f(x)={{:((1+cospix)/(pi^(2)(x+1)^(2)),",",xlt-1),(ax...

    Text Solution

    |

  4. The value of the following limit lim(ntooo) n(n+1)(ln(1+(1)/(n))-sin((...

    Text Solution

    |

  5. number of solutions for x between 3 and 15 if int(0)^(x)[t]dt=int(0)^(...

    Text Solution

    |

  6. If the length of perpendicular from (0,0,0) to the plane ax+by+cz+d=0 ...

    Text Solution

    |

  7. A transversal cuts side AB and AD and diagonal AC of parallelogram ABC...

    Text Solution

    |

  8. Consider curve y=(1+x)^(y)+sin^(-1)(sin^(2)x). Which of the following ...

    Text Solution

    |

  9. The x-intercept of the tangent to a curve is equal to the ordinate of ...

    Text Solution

    |

  10. Suppose y=f(x)andy=g(x) are two functions whose graph intersect at th...

    Text Solution

    |

  11. A function y=f(x) satisfies f"(x)=-(1)/(x^(2))-pisin(pix),f(2)=pi+(1)...

    Text Solution

    |

  12. Let(1+X^(2))^(2)(1+X)^(n)=sum(k=0)^(n+4)a(k)X^(k).ifa(1),a(2),a(3) ar...

    Text Solution

    |

  13. If f(x) is double differentiable function such that |f"(x)|le5 for ea...

    Text Solution

    |

  14. overline(x)andoverline(y) be two variable vectors satisfying simultan...

    Text Solution

    |

  15. The curve defined by sqrt((x)/(a))+sqrt((y)/(b))=1 gives a part of pa...

    Text Solution

    |

  16. The curve defined by sqrt((x)/(a))+sqrt((y)/(b))=1 gives a part of pa...

    Text Solution

    |

  17. In a problem of differentiation of (f(x))/(g(x)), one student writes ...

    Text Solution

    |

  18. In a problem of differentiation of (f(x))/(g(x)), one student writes ...

    Text Solution

    |