Home
Class 12
MATHS
The least positive integer n for which (...

The least positive integer n for which `((1-i)/(1-i))^n=2/pi "sin"^(-1) (1+x^2)/(2x)`, where x > 0 and `i=sqrt(-1)` is :

A

2

B

4

C

8

D

12

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|15 Videos

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|53 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|87 Videos

Similar Questions

Explore conceptually related problems

Find the least positive integer n for which ((1+i)/(1-i))^n

What is the smallest positive integer n for which (1+i)^(2n)=(1-i)^(2n) ?

The least positive integer n for which ((1+i)/(1-i))^(n)=(2)/(pi)(sec^(-1)""(1)/(x)+sin^(-1)x) (where, Xne0,-1leXle1andi=sqrt(-1), is

What is the smallest positive integer n for which (1+i)^(2n)=(1-i)^(2n)?

The least positive integer n such that ((2i)/(1+i))^(n) is a positive integer is

Find the least positive integral value of n, for which ((1-i)/(1+i))^n , where i=sqrt(-1), is purely imaginary with positive imaginary part.

Find the smallest positive integer value of n for which ((1+i)^n)/((1-i)^(n-2)) is a real number.

Find the least positive integer n such that ((2i)/(1+i))^n is a positive integer.

Find the least positive integer n such that ((2i)/(1+i))^n is a positive integer.

Find the least positive integer n such that ((2i)/(1+i))^n is a positive integer.

OBJECTIVE RD SHARMA ENGLISH-COMPLEX NUMBERS -Exercise
  1. If log(tan30^@)[(2|z|^(2)+2|z|-3)/(|z|+1)] lt -2 then |z|=

    Text Solution

    |

  2. The roots of the cubic equation (z+ ab)^(3) = a^(3), such that a ne 0...

    Text Solution

    |

  3. The roots of the cubic equation (z+ ab)^(3) = a^(3), such that a ne 0...

    Text Solution

    |

  4. If omega is a complex cube root of unity, then the equation |z- omega|...

    Text Solution

    |

  5. If omega is a complex cube root of unity, then the equationi |z-omega|...

    Text Solution

    |

  6. The equation zbarz+(4-3i)z+(4+3i)barz+5=0 represents a circle of radiu...

    Text Solution

    |

  7. z is such that a r g ((z-3sqrt(3))/(z+3sqrt(3)))=pi/3 then locus z is

    Text Solution

    |

  8. about to only mathematics

    Text Solution

    |

  9. If |z-4+3i| leq 1 and m and n be the least and greatest values of |z...

    Text Solution

    |

  10. If 1,alpha,alpha^(2),………..,alpha^(n-1) are the n, n^(th) roots of unit...

    Text Solution

    |

  11. If z(r)(r=0,1,2,…………,6) be the roots of the equation (z+1)^(7)+z^7=0...

    Text Solution

    |

  12. The least positive integer n for which ((1-i)/(1-i))^n=2/pi "sin"^(-1)...

    Text Solution

    |

  13. The area of the triangle formed by the points representing -z,iz and z...

    Text Solution

    |

  14. If z(0)=(1-i)/2, then the value of the product (1+z(0))(1+z(0)^(2))(1+...

    Text Solution

    |

  15. The greatest positive argument of complex number satisfying |z-4|=R e(...

    Text Solution

    |

  16. If the points in the complex plane satisfy the equations log(5)(|z|+3)...

    Text Solution

    |

  17. A complex number z with (Im)(z)=4 and a positive integer n be such tha...

    Text Solution

    |

  18. If arg ((z(1) -(z)/(|z|))/((z)/(|z|))) = (pi)/(2) and |(z)/(|z|)-z(1)|...

    Text Solution

    |

  19. If z(1) and z(2) satisfy the equation |z-2|=|"Re"(z)| and arg(z1-z2)=p...

    Text Solution

    |

  20. If A=|z in C: z=x+ix-1 for all x in R} and |z| le |omega| for all z, o...

    Text Solution

    |